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Finding the Third Proportional to 6,466,153 and 10,143,438

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Solution

The third proportional to 6,466,153 and 10,143,438 is: 15,911,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466,153 : 10,143,438 = 10,143,438 : x
  2. Step 2: Convert to fraction form
    6,466,153/10,143,438 = 10,143,438/x
  3. Step 3: Cross multiply
    6,466,153x = 10,143,438 × 10,143,438
  4. Step 4: Simplify right side
    6,466,153x = 102,889,334,459,844
  5. Step 5: Solve for x
    x = 102,889,334,459,844/6,466,153
  6. Step 6: Final answer
    x = 15,911,985.76

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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.