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Finding the Third Proportional to 5,314,257,418 and 11,417,167,742

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Solution

The third proportional to 5,314,257,418 and 11,417,167,742 is: 24,528,679,925.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314,257,418 : 11,417,167,742 = 11,417,167,742 : x
  2. Step 2: Convert to fraction form
    5,314,257,418/11,417,167,742 = 11,417,167,742/x
  3. Step 3: Cross multiply
    5,314,257,418x = 11,417,167,742 × 11,417,167,742
  4. Step 4: Simplify right side
    5,314,257,418x = 130,351,719,248,965,386,240
  5. Step 5: Solve for x
    x = 130,351,719,248,965,386,240/5,314,257,418
  6. Step 6: Final answer
    x = 24,528,679,925.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.