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Finding the Third Proportional to 13,631,768 and 29,178,863

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Solution

The third proportional to 13,631,768 and 29,178,863 is: 62,457,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,631,768 : 29,178,863 = 29,178,863 : x
  2. Step 2: Convert to fraction form
    13,631,768/29,178,863 = 29,178,863/x
  3. Step 3: Cross multiply
    13,631,768x = 29,178,863 × 29,178,863
  4. Step 4: Simplify right side
    13,631,768x = 851,406,045,972,769
  5. Step 5: Solve for x
    x = 851,406,045,972,769/13,631,768
  6. Step 6: Final answer
    x = 62,457,492.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.