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Finding the Third Proportional to 6,442,640 and 13,894,053

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Solution

The third proportional to 6,442,640 and 13,894,053 is: 29,963,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442,640 : 13,894,053 = 13,894,053 : x
  2. Step 2: Convert to fraction form
    6,442,640/13,894,053 = 13,894,053/x
  3. Step 3: Cross multiply
    6,442,640x = 13,894,053 × 13,894,053
  4. Step 4: Simplify right side
    6,442,640x = 193,044,708,766,809
  5. Step 5: Solve for x
    x = 193,044,708,766,809/6,442,640
  6. Step 6: Final answer
    x = 29,963,603.24

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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.