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Finding the Third Proportional to 4,644,472 and 6,830,140

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Solution

The third proportional to 4,644,472 and 6,830,140 is: 10,044,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644,472 : 6,830,140 = 6,830,140 : x
  2. Step 2: Convert to fraction form
    4,644,472/6,830,140 = 6,830,140/x
  3. Step 3: Cross multiply
    4,644,472x = 6,830,140 × 6,830,140
  4. Step 4: Simplify right side
    4,644,472x = 46,650,812,419,600
  5. Step 5: Solve for x
    x = 46,650,812,419,600/4,644,472
  6. Step 6: Final answer
    x = 10,044,373.70

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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.