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Finding the Third Proportional to 529,692,456.16 and 826,724,080.13

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Solution

The third proportional to 529,692,456.16 and 826,724,080.13 is: 1,290,319,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,692,456.16 : 826,724,080.13 = 826,724,080.13 : x
  2. Step 2: Convert to fraction form
    529,692,456.16/826,724,080.13 = 826,724,080.13/x
  3. Step 3: Cross multiply
    529,692,456.16x = 826,724,080.13 × 826,724,080.13
  4. Step 4: Simplify right side
    529,692,456.16x = 683,472,704,658,527,360
  5. Step 5: Solve for x
    x = 683,472,704,658,527,360/529,692,456.16
  6. Step 6: Final answer
    x = 1,290,319,876.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.