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Finding the Third Proportional to 872,134,642 and 1,340,533,472

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Solution

The third proportional to 872,134,642 and 1,340,533,472 is: 2,060,496,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,134,642 : 1,340,533,472 = 1,340,533,472 : x
  2. Step 2: Convert to fraction form
    872,134,642/1,340,533,472 = 1,340,533,472/x
  3. Step 3: Cross multiply
    872,134,642x = 1,340,533,472 × 1,340,533,472
  4. Step 4: Simplify right side
    872,134,642x = 1,797,029,989,552,374,784
  5. Step 5: Solve for x
    x = 1,797,029,989,552,374,784/872,134,642
  6. Step 6: Final answer
    x = 2,060,496,055.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.