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Finding the Third Proportional to 3,098,565 and 6,711,678

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Solution

The third proportional to 3,098,565 and 6,711,678 is: 14,537,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098,565 : 6,711,678 = 6,711,678 : x
  2. Step 2: Convert to fraction form
    3,098,565/6,711,678 = 6,711,678/x
  3. Step 3: Cross multiply
    3,098,565x = 6,711,678 × 6,711,678
  4. Step 4: Simplify right side
    3,098,565x = 45,046,621,575,684
  5. Step 5: Solve for x
    x = 45,046,621,575,684/3,098,565
  6. Step 6: Final answer
    x = 14,537,897.89

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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.