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Finding the Third Proportional to 2,948,645,192 and 6,452,683,408

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Solution

The third proportional to 2,948,645,192 and 6,452,683,408 is: 14,120,764,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948,645,192 : 6,452,683,408 = 6,452,683,408 : x
  2. Step 2: Convert to fraction form
    2,948,645,192/6,452,683,408 = 6,452,683,408/x
  3. Step 3: Cross multiply
    2,948,645,192x = 6,452,683,408 × 6,452,683,408
  4. Step 4: Simplify right side
    2,948,645,192x = 41,637,123,163,878,498,304
  5. Step 5: Solve for x
    x = 41,637,123,163,878,498,304/2,948,645,192
  6. Step 6: Final answer
    x = 14,120,764,097.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.