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Finding the Third Proportional to 6,472,774.13 and 9,827,260.88

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Solution

The third proportional to 6,472,774.13 and 9,827,260.88 is: 14,920,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472,774.13 : 9,827,260.88 = 9,827,260.88 : x
  2. Step 2: Convert to fraction form
    6,472,774.13/9,827,260.88 = 9,827,260.88/x
  3. Step 3: Cross multiply
    6,472,774.13x = 9,827,260.88 × 9,827,260.88
  4. Step 4: Simplify right side
    6,472,774.13x = 96,575,056,305,305.77
  5. Step 5: Solve for x
    x = 96,575,056,305,305.77/6,472,774.13
  6. Step 6: Final answer
    x = 14,920,195.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.