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Finding the Third Proportional to 71,645,946 and 155,455,986

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Solution

The third proportional to 71,645,946 and 155,455,986 is: 337,305,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,645,946 : 155,455,986 = 155,455,986 : x
  2. Step 2: Convert to fraction form
    71,645,946/155,455,986 = 155,455,986/x
  3. Step 3: Cross multiply
    71,645,946x = 155,455,986 × 155,455,986
  4. Step 4: Simplify right side
    71,645,946x = 24,166,563,583,232,196
  5. Step 5: Solve for x
    x = 24,166,563,583,232,196/71,645,946
  6. Step 6: Final answer
    x = 337,305,387.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.