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Finding the Third Proportional to 6,948,591 and 10,024,260

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Solution

The third proportional to 6,948,591 and 10,024,260 is: 14,461,318.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948,591 : 10,024,260 = 10,024,260 : x
  2. Step 2: Convert to fraction form
    6,948,591/10,024,260 = 10,024,260/x
  3. Step 3: Cross multiply
    6,948,591x = 10,024,260 × 10,024,260
  4. Step 4: Simplify right side
    6,948,591x = 100,485,788,547,600
  5. Step 5: Solve for x
    x = 100,485,788,547,600/6,948,591
  6. Step 6: Final answer
    x = 14,461,318.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.