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Finding the Third Proportional to 7,619,086 and 10,347,541

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Solution

The third proportional to 7,619,086 and 10,347,541 is: 14,053,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,619,086 : 10,347,541 = 10,347,541 : x
  2. Step 2: Convert to fraction form
    7,619,086/10,347,541 = 10,347,541/x
  3. Step 3: Cross multiply
    7,619,086x = 10,347,541 × 10,347,541
  4. Step 4: Simplify right side
    7,619,086x = 107,071,604,746,681
  5. Step 5: Solve for x
    x = 107,071,604,746,681/7,619,086
  6. Step 6: Final answer
    x = 14,053,077.33

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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.