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Finding the Third Proportional to 4,708,098.42 and 6,663,792.80

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Solution

The third proportional to 4,708,098.42 and 6,663,792.80 is: 9,431,861.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708,098.42 : 6,663,792.80 = 6,663,792.80 : x
  2. Step 2: Convert to fraction form
    4,708,098.42/6,663,792.80 = 6,663,792.80/x
  3. Step 3: Cross multiply
    4,708,098.42x = 6,663,792.80 × 6,663,792.80
  4. Step 4: Simplify right side
    4,708,098.42x = 44,406,134,439,685.80
  5. Step 5: Solve for x
    x = 44,406,134,439,685.80/4,708,098.42
  6. Step 6: Final answer
    x = 9,431,861.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.