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Finding the Third Proportional to 6,442,639 and 13,894,051

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Solution

The third proportional to 6,442,639 and 13,894,051 is: 29,963,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442,639 : 13,894,051 = 13,894,051 : x
  2. Step 2: Convert to fraction form
    6,442,639/13,894,051 = 13,894,051/x
  3. Step 3: Cross multiply
    6,442,639x = 13,894,051 × 13,894,051
  4. Step 4: Simplify right side
    6,442,639x = 193,044,653,190,601
  5. Step 5: Solve for x
    x = 193,044,653,190,601/6,442,639
  6. Step 6: Final answer
    x = 29,963,599.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.