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Finding the Third Proportional to 545,870,016 and 838,610,496

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Solution

The third proportional to 545,870,016 and 838,610,496 is: 1,288,342,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,870,016 : 838,610,496 = 838,610,496 : x
  2. Step 2: Convert to fraction form
    545,870,016/838,610,496 = 838,610,496/x
  3. Step 3: Cross multiply
    545,870,016x = 838,610,496 × 838,610,496
  4. Step 4: Simplify right side
    545,870,016x = 703,267,564,001,366,016
  5. Step 5: Solve for x
    x = 703,267,564,001,366,016/545,870,016
  6. Step 6: Final answer
    x = 1,288,342,541.97

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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.