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Finding the Third Proportional to 41,520,972 and 97,011,729

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Solution

The third proportional to 41,520,972 and 97,011,729 is: 226,663,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,520,972 : 97,011,729 = 97,011,729 : x
  2. Step 2: Convert to fraction form
    41,520,972/97,011,729 = 97,011,729/x
  3. Step 3: Cross multiply
    41,520,972x = 97,011,729 × 97,011,729
  4. Step 4: Simplify right side
    41,520,972x = 9,411,275,563,569,440
  5. Step 5: Solve for x
    x = 9,411,275,563,569,440/41,520,972
  6. Step 6: Final answer
    x = 226,663,180.32

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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.