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Finding the Third Proportional to 6,578,494 and 10,124,639

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Solution

The third proportional to 6,578,494 and 10,124,639 is: 15,582,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578,494 : 10,124,639 = 10,124,639 : x
  2. Step 2: Convert to fraction form
    6,578,494/10,124,639 = 10,124,639/x
  3. Step 3: Cross multiply
    6,578,494x = 10,124,639 × 10,124,639
  4. Step 4: Simplify right side
    6,578,494x = 102,508,314,880,321
  5. Step 5: Solve for x
    x = 102,508,314,880,321/6,578,494
  6. Step 6: Final answer
    x = 15,582,337.67

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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.