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Finding the Third Proportional to 21,881,217 and 47,615,442

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Solution

The third proportional to 21,881,217 and 47,615,442 is: 103,615,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881,217 : 47,615,442 = 47,615,442 : x
  2. Step 2: Convert to fraction form
    21,881,217/47,615,442 = 47,615,442/x
  3. Step 3: Cross multiply
    21,881,217x = 47,615,442 × 47,615,442
  4. Step 4: Simplify right side
    21,881,217x = 2,267,230,316,855,364
  5. Step 5: Solve for x
    x = 2,267,230,316,855,364/21,881,217
  6. Step 6: Final answer
    x = 103,615,366.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.