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Finding the Third Proportional to 6,164,599 and 9,817,678

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Solution

The third proportional to 6,164,599 and 9,817,678 is: 15,635,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164,599 : 9,817,678 = 9,817,678 : x
  2. Step 2: Convert to fraction form
    6,164,599/9,817,678 = 9,817,678/x
  3. Step 3: Cross multiply
    6,164,599x = 9,817,678 × 9,817,678
  4. Step 4: Simplify right side
    6,164,599x = 96,386,801,311,684
  5. Step 5: Solve for x
    x = 96,386,801,311,684/6,164,599
  6. Step 6: Final answer
    x = 15,635,534.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.