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Finding the Third Proportional to 21,543,784 and 47,207,792

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Solution

The third proportional to 21,543,784 and 47,207,792 is: 103,444,020.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543,784 : 47,207,792 = 47,207,792 : x
  2. Step 2: Convert to fraction form
    21,543,784/47,207,792 = 47,207,792/x
  3. Step 3: Cross multiply
    21,543,784x = 47,207,792 × 47,207,792
  4. Step 4: Simplify right side
    21,543,784x = 2,228,575,625,515,264
  5. Step 5: Solve for x
    x = 2,228,575,625,515,264/21,543,784
  6. Step 6: Final answer
    x = 103,444,020.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.