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Finding the Third Proportional to 40,277,642 and 61,945,602

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Solution

The third proportional to 40,277,642 and 61,945,602 is: 95,270,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,277,642 : 61,945,602 = 61,945,602 : x
  2. Step 2: Convert to fraction form
    40,277,642/61,945,602 = 61,945,602/x
  3. Step 3: Cross multiply
    40,277,642x = 61,945,602 × 61,945,602
  4. Step 4: Simplify right side
    40,277,642x = 3,837,257,607,142,404
  5. Step 5: Solve for x
    x = 3,837,257,607,142,404/40,277,642
  6. Step 6: Final answer
    x = 95,270,165.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.