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Finding the Third Proportional to 6,578,484 and 10,124,624

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Solution

The third proportional to 6,578,484 and 10,124,624 is: 15,582,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578,484 : 10,124,624 = 10,124,624 : x
  2. Step 2: Convert to fraction form
    6,578,484/10,124,624 = 10,124,624/x
  3. Step 3: Cross multiply
    6,578,484x = 10,124,624 × 10,124,624
  4. Step 4: Simplify right side
    6,578,484x = 102,508,011,141,376
  5. Step 5: Solve for x
    x = 102,508,011,141,376/6,578,484
  6. Step 6: Final answer
    x = 15,582,315.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.