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Finding the Third Proportional to 6,862,457.25 and 14,854,641.75

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Solution

The third proportional to 6,862,457.25 and 14,854,641.75 is: 32,154,718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862,457.25 : 14,854,641.75 = 14,854,641.75 : x
  2. Step 2: Convert to fraction form
    6,862,457.25/14,854,641.75 = 14,854,641.75/x
  3. Step 3: Cross multiply
    6,862,457.25x = 14,854,641.75 × 14,854,641.75
  4. Step 4: Simplify right side
    6,862,457.25x = 220,660,381,520,843.06
  5. Step 5: Solve for x
    x = 220,660,381,520,843.06/6,862,457.25
  6. Step 6: Final answer
    x = 32,154,718.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.