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Finding the Third Proportional to 547,693,498 and 1,217,843,444

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Solution

The third proportional to 547,693,498 and 1,217,843,444 is: 2,707,979,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,693,498 : 1,217,843,444 = 1,217,843,444 : x
  2. Step 2: Convert to fraction form
    547,693,498/1,217,843,444 = 1,217,843,444/x
  3. Step 3: Cross multiply
    547,693,498x = 1,217,843,444 × 1,217,843,444
  4. Step 4: Simplify right side
    547,693,498x = 1,483,142,654,093,781,248
  5. Step 5: Solve for x
    x = 1,483,142,654,093,781,248/547,693,498
  6. Step 6: Final answer
    x = 2,707,979,297.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.