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Finding the Third Proportional to 42,561,616 and 66,038,064

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Solution

The third proportional to 42,561,616 and 66,038,064 is: 102,463,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,561,616 : 66,038,064 = 66,038,064 : x
  2. Step 2: Convert to fraction form
    42,561,616/66,038,064 = 66,038,064/x
  3. Step 3: Cross multiply
    42,561,616x = 66,038,064 × 66,038,064
  4. Step 4: Simplify right side
    42,561,616x = 4,361,025,896,868,096
  5. Step 5: Solve for x
    x = 4,361,025,896,868,096/42,561,616
  6. Step 6: Final answer
    x = 102,463,823.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.