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Finding the Third Proportional to 4,750,148.81 and 7,862,219.44

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Solution

The third proportional to 4,750,148.81 and 7,862,219.44 is: 13,013,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750,148.81 : 7,862,219.44 = 7,862,219.44 : x
  2. Step 2: Convert to fraction form
    4,750,148.81/7,862,219.44 = 7,862,219.44/x
  3. Step 3: Cross multiply
    4,750,148.81x = 7,862,219.44 × 7,862,219.44
  4. Step 4: Simplify right side
    4,750,148.81x = 61,814,494,483,402.81
  5. Step 5: Solve for x
    x = 61,814,494,483,402.81/4,750,148.81
  6. Step 6: Final answer
    x = 13,013,170.10

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.