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Finding the Third Proportional to 356,724,216 and 783,598,662

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Solution

The third proportional to 356,724,216 and 783,598,662 is: 1,721,292,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,724,216 : 783,598,662 = 783,598,662 : x
  2. Step 2: Convert to fraction form
    356,724,216/783,598,662 = 783,598,662/x
  3. Step 3: Cross multiply
    356,724,216x = 783,598,662 × 783,598,662
  4. Step 4: Simplify right side
    356,724,216x = 614,026,863,088,190,208
  5. Step 5: Solve for x
    x = 614,026,863,088,190,208/356,724,216
  6. Step 6: Final answer
    x = 1,721,292,907.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.