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Finding the Third Proportional to 6,307,423 and 13,808,948

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Solution

The third proportional to 6,307,423 and 13,808,948 is: 30,232,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307,423 : 13,808,948 = 13,808,948 : x
  2. Step 2: Convert to fraction form
    6,307,423/13,808,948 = 13,808,948/x
  3. Step 3: Cross multiply
    6,307,423x = 13,808,948 × 13,808,948
  4. Step 4: Simplify right side
    6,307,423x = 190,687,044,866,704
  5. Step 5: Solve for x
    x = 190,687,044,866,704/6,307,423
  6. Step 6: Final answer
    x = 30,232,163.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.