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Finding the Third Proportional to 724,335,414 and 1,569,004,232

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Solution

The third proportional to 724,335,414 and 1,569,004,232 is: 3,398,666,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,335,414 : 1,569,004,232 = 1,569,004,232 : x
  2. Step 2: Convert to fraction form
    724,335,414/1,569,004,232 = 1,569,004,232/x
  3. Step 3: Cross multiply
    724,335,414x = 1,569,004,232 × 1,569,004,232
  4. Step 4: Simplify right side
    724,335,414x = 2,461,774,280,033,909,760
  5. Step 5: Solve for x
    x = 2,461,774,280,033,909,760/724,335,414
  6. Step 6: Final answer
    x = 3,398,666,187.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.