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Finding the Third Proportional to 39,029,006,862 and 52,659,293,346

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Solution

The third proportional to 39,029,006,862 and 52,659,293,346 is: 71,049,749,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,029,006,862 : 52,659,293,346 = 52,659,293,346 : x
  2. Step 2: Convert to fraction form
    39,029,006,862/52,659,293,346 = 52,659,293,346/x
  3. Step 3: Cross multiply
    39,029,006,862x = 52,659,293,346 × 52,659,293,346
  4. Step 4: Simplify right side
    39,029,006,862x = 2,773,001,175,700,079,640,576
  5. Step 5: Solve for x
    x = 2,773,001,175,700,079,640,576/39,029,006,862
  6. Step 6: Final answer
    x = 71,049,749,882.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.