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Finding the Third Proportional to 13,714,998 and 18,680,468

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Solution

The third proportional to 13,714,998 and 18,680,468 is: 25,443,670.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714,998 : 18,680,468 = 18,680,468 : x
  2. Step 2: Convert to fraction form
    13,714,998/18,680,468 = 18,680,468/x
  3. Step 3: Cross multiply
    13,714,998x = 18,680,468 × 18,680,468
  4. Step 4: Simplify right side
    13,714,998x = 348,959,884,699,024
  5. Step 5: Solve for x
    x = 348,959,884,699,024/13,714,998
  6. Step 6: Final answer
    x = 25,443,670.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.