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Finding the Third Proportional to 4,535,142 and 6,874,695

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Solution

The third proportional to 4,535,142 and 6,874,695 is: 10,421,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535,142 : 6,874,695 = 6,874,695 : x
  2. Step 2: Convert to fraction form
    4,535,142/6,874,695 = 6,874,695/x
  3. Step 3: Cross multiply
    4,535,142x = 6,874,695 × 6,874,695
  4. Step 4: Simplify right side
    4,535,142x = 47,261,431,343,025
  5. Step 5: Solve for x
    x = 47,261,431,343,025/4,535,142
  6. Step 6: Final answer
    x = 10,421,158.00

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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.