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Finding the Third Proportional to 4,230,101 and 6,444,292

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Solution

The third proportional to 4,230,101 and 6,444,292 is: 9,817,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230,101 : 6,444,292 = 6,444,292 : x
  2. Step 2: Convert to fraction form
    4,230,101/6,444,292 = 6,444,292/x
  3. Step 3: Cross multiply
    4,230,101x = 6,444,292 × 6,444,292
  4. Step 4: Simplify right side
    4,230,101x = 41,528,899,381,264
  5. Step 5: Solve for x
    x = 41,528,899,381,264/4,230,101
  6. Step 6: Final answer
    x = 9,817,472.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.