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Finding the Third Proportional to 42,102,312 and 62,982,080

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Solution

The third proportional to 42,102,312 and 62,982,080 is: 94,216,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102,312 : 62,982,080 = 62,982,080 : x
  2. Step 2: Convert to fraction form
    42,102,312/62,982,080 = 62,982,080/x
  3. Step 3: Cross multiply
    42,102,312x = 62,982,080 × 62,982,080
  4. Step 4: Simplify right side
    42,102,312x = 3,966,742,401,126,400
  5. Step 5: Solve for x
    x = 3,966,742,401,126,400/42,102,312
  6. Step 6: Final answer
    x = 94,216,735.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.