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Finding the Third Proportional to 6,307,583 and 9,881,416

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Solution

The third proportional to 6,307,583 and 9,881,416 is: 15,480,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307,583 : 9,881,416 = 9,881,416 : x
  2. Step 2: Convert to fraction form
    6,307,583/9,881,416 = 9,881,416/x
  3. Step 3: Cross multiply
    6,307,583x = 9,881,416 × 9,881,416
  4. Step 4: Simplify right side
    6,307,583x = 97,642,382,165,056
  5. Step 5: Solve for x
    x = 97,642,382,165,056/6,307,583
  6. Step 6: Final answer
    x = 15,480,158.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.