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Finding the Third Proportional to 61,675,452,412 and 83,214,666,734

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Solution

The third proportional to 61,675,452,412 and 83,214,666,734 is: 112,276,124,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,675,452,412 : 83,214,666,734 = 83,214,666,734 : x
  2. Step 2: Convert to fraction form
    61,675,452,412/83,214,666,734 = 83,214,666,734/x
  3. Step 3: Cross multiply
    61,675,452,412x = 83,214,666,734 × 83,214,666,734
  4. Step 4: Simplify right side
    61,675,452,412x = 6,924,680,759,650,686,074,880
  5. Step 5: Solve for x
    x = 6,924,680,759,650,686,074,880/61,675,452,412
  6. Step 6: Final answer
    x = 112,276,124,273.77

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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.