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Finding the Third Proportional to 724,335,397.75 and 1,569,004,199.25

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Solution

The third proportional to 724,335,397.75 and 1,569,004,199.25 is: 3,398,666,121.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,335,397.75 : 1,569,004,199.25 = 1,569,004,199.25 : x
  2. Step 2: Convert to fraction form
    724,335,397.75/1,569,004,199.25 = 1,569,004,199.25/x
  3. Step 3: Cross multiply
    724,335,397.75x = 1,569,004,199.25 × 1,569,004,199.25
  4. Step 4: Simplify right side
    724,335,397.75x = 2,461,774,177,264,133,632
  5. Step 5: Solve for x
    x = 2,461,774,177,264,133,632/724,335,397.75
  6. Step 6: Final answer
    x = 3,398,666,121.95

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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.