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Finding the Third Proportional to 21,621,730 and 47,006,948

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Solution

The third proportional to 21,621,730 and 47,006,948 is: 102,195,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,621,730 : 47,006,948 = 47,006,948 : x
  2. Step 2: Convert to fraction form
    21,621,730/47,006,948 = 47,006,948/x
  3. Step 3: Cross multiply
    21,621,730x = 47,006,948 × 47,006,948
  4. Step 4: Simplify right side
    21,621,730x = 2,209,653,160,274,704
  5. Step 5: Solve for x
    x = 2,209,653,160,274,704/21,621,730
  6. Step 6: Final answer
    x = 102,195,946.41

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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.