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Finding the Third Proportional to 6,746,809 and 9,615,563

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Solution

The third proportional to 6,746,809 and 9,615,563 is: 13,704,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,809 : 9,615,563 = 9,615,563 : x
  2. Step 2: Convert to fraction form
    6,746,809/9,615,563 = 9,615,563/x
  3. Step 3: Cross multiply
    6,746,809x = 9,615,563 × 9,615,563
  4. Step 4: Simplify right side
    6,746,809x = 92,459,051,806,969
  5. Step 5: Solve for x
    x = 92,459,051,806,969/6,746,809
  6. Step 6: Final answer
    x = 13,704,115.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.