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Finding the Third Proportional to 61,675,452,413 and 83,214,666,735

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Solution

The third proportional to 61,675,452,413 and 83,214,666,735 is: 112,276,124,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,675,452,413 : 83,214,666,735 = 83,214,666,735 : x
  2. Step 2: Convert to fraction form
    61,675,452,413/83,214,666,735 = 83,214,666,735/x
  3. Step 3: Cross multiply
    61,675,452,413x = 83,214,666,735 × 83,214,666,735
  4. Step 4: Simplify right side
    61,675,452,413x = 6,924,680,759,817,116,057,600
  5. Step 5: Solve for x
    x = 6,924,680,759,817,116,057,600/61,675,452,413
  6. Step 6: Final answer
    x = 112,276,124,274.65

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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.