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Finding the Third Proportional to 6,862,403 and 14,854,534

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Solution

The third proportional to 6,862,403 and 14,854,534 is: 32,154,506.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862,403 : 14,854,534 = 14,854,534 : x
  2. Step 2: Convert to fraction form
    6,862,403/14,854,534 = 14,854,534/x
  3. Step 3: Cross multiply
    6,862,403x = 14,854,534 × 14,854,534
  4. Step 4: Simplify right side
    6,862,403x = 220,657,180,357,156
  5. Step 5: Solve for x
    x = 220,657,180,357,156/6,862,403
  6. Step 6: Final answer
    x = 32,154,506.28

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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.