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Finding the Third Proportional to 5,186,418 and 7,611,472

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Solution

The third proportional to 5,186,418 and 7,611,472 is: 11,170,427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186,418 : 7,611,472 = 7,611,472 : x
  2. Step 2: Convert to fraction form
    5,186,418/7,611,472 = 7,611,472/x
  3. Step 3: Cross multiply
    5,186,418x = 7,611,472 × 7,611,472
  4. Step 4: Simplify right side
    5,186,418x = 57,934,506,006,784
  5. Step 5: Solve for x
    x = 57,934,506,006,784/5,186,418
  6. Step 6: Final answer
    x = 11,170,427.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.