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Finding the Third Proportional to 61,675,452,407 and 83,214,666,727

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Solution

The third proportional to 61,675,452,407 and 83,214,666,727 is: 112,276,124,263.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,675,452,407 : 83,214,666,727 = 83,214,666,727 : x
  2. Step 2: Convert to fraction form
    61,675,452,407/83,214,666,727 = 83,214,666,727/x
  3. Step 3: Cross multiply
    61,675,452,407x = 83,214,666,727 × 83,214,666,727
  4. Step 4: Simplify right side
    61,675,452,407x = 6,924,680,758,485,680,390,144
  5. Step 5: Solve for x
    x = 6,924,680,758,485,680,390,144/61,675,452,407
  6. Step 6: Final answer
    x = 112,276,124,263.98

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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.