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Finding the Third Proportional to 39,827,282 and 61,509,659

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Solution

The third proportional to 39,827,282 and 61,509,659 is: 94,996,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,827,282 : 61,509,659 = 61,509,659 : x
  2. Step 2: Convert to fraction form
    39,827,282/61,509,659 = 61,509,659/x
  3. Step 3: Cross multiply
    39,827,282x = 61,509,659 × 61,509,659
  4. Step 4: Simplify right side
    39,827,282x = 3,783,438,150,296,281
  5. Step 5: Solve for x
    x = 3,783,438,150,296,281/39,827,282
  6. Step 6: Final answer
    x = 94,996,142.35

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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.