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Finding the Third Proportional to 13,423,140 and 29,085,768

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Solution

The third proportional to 13,423,140 and 29,085,768 is: 63,024,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423,140 : 29,085,768 = 29,085,768 : x
  2. Step 2: Convert to fraction form
    13,423,140/29,085,768 = 29,085,768/x
  3. Step 3: Cross multiply
    13,423,140x = 29,085,768 × 29,085,768
  4. Step 4: Simplify right side
    13,423,140x = 845,981,900,149,824
  5. Step 5: Solve for x
    x = 845,981,900,149,824/13,423,140
  6. Step 6: Final answer
    x = 63,024,143.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.