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Finding the Third Proportional to 702,028,068,443.80 and 1,509,708,947,132.80

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Solution

The third proportional to 702,028,068,443.80 and 1,509,708,947,132.80 is: 3,246,623,899,390.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,028,068,443.80 : 1,509,708,947,132.80 = 1,509,708,947,132.80 : x
  2. Step 2: Convert to fraction form
    702,028,068,443.80/1,509,708,947,132.80 = 1,509,708,947,132.80/x
  3. Step 3: Cross multiply
    702,028,068,443.80x = 1,509,708,947,132.80 × 1,509,708,947,132.80
  4. Step 4: Simplify right side
    702,028,068,443.80x = 2,279,221,105,052,827,676,311,552
  5. Step 5: Solve for x
    x = 2,279,221,105,052,827,676,311,552/702,028,068,443.80
  6. Step 6: Final answer
    x = 3,246,623,899,390.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.