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Finding the Third Proportional to 21,887,712 and 47,513,712

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Solution

The third proportional to 21,887,712 and 47,513,712 is: 103,142,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887,712 : 47,513,712 = 47,513,712 : x
  2. Step 2: Convert to fraction form
    21,887,712/47,513,712 = 47,513,712/x
  3. Step 3: Cross multiply
    21,887,712x = 47,513,712 × 47,513,712
  4. Step 4: Simplify right side
    21,887,712x = 2,257,552,828,018,944
  5. Step 5: Solve for x
    x = 2,257,552,828,018,944/21,887,712
  6. Step 6: Final answer
    x = 103,142,476.84

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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.