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Finding the Third Proportional to 41,520,973 and 97,011,731

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Solution

The third proportional to 41,520,973 and 97,011,731 is: 226,663,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,520,973 : 97,011,731 = 97,011,731 : x
  2. Step 2: Convert to fraction form
    41,520,973/97,011,731 = 97,011,731/x
  3. Step 3: Cross multiply
    41,520,973x = 97,011,731 × 97,011,731
  4. Step 4: Simplify right side
    41,520,973x = 9,411,275,951,616,360
  5. Step 5: Solve for x
    x = 9,411,275,951,616,360/41,520,973
  6. Step 6: Final answer
    x = 226,663,184.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.