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Finding the Third Proportional to 32,177,664 and 45,010,272

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Solution

The third proportional to 32,177,664 and 45,010,272 is: 62,960,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177,664 : 45,010,272 = 45,010,272 : x
  2. Step 2: Convert to fraction form
    32,177,664/45,010,272 = 45,010,272/x
  3. Step 3: Cross multiply
    32,177,664x = 45,010,272 × 45,010,272
  4. Step 4: Simplify right side
    32,177,664x = 2,025,924,585,513,984
  5. Step 5: Solve for x
    x = 2,025,924,585,513,984/32,177,664
  6. Step 6: Final answer
    x = 62,960,586.12

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.