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Finding the Third Proportional to 6,148,466 and 9,822,315

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Solution

The third proportional to 6,148,466 and 9,822,315 is: 15,691,372.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148,466 : 9,822,315 = 9,822,315 : x
  2. Step 2: Convert to fraction form
    6,148,466/9,822,315 = 9,822,315/x
  3. Step 3: Cross multiply
    6,148,466x = 9,822,315 × 9,822,315
  4. Step 4: Simplify right side
    6,148,466x = 96,477,871,959,225
  5. Step 5: Solve for x
    x = 96,477,871,959,225/6,148,466
  6. Step 6: Final answer
    x = 15,691,372.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.