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Finding the Third Proportional to 5,877,117 and 8,614,471.50

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Solution

The third proportional to 5,877,117 and 8,614,471.50 is: 12,626,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,117 : 8,614,471.50 = 8,614,471.50 : x
  2. Step 2: Convert to fraction form
    5,877,117/8,614,471.50 = 8,614,471.50/x
  3. Step 3: Cross multiply
    5,877,117x = 8,614,471.50 × 8,614,471.50
  4. Step 4: Simplify right side
    5,877,117x = 74,209,119,224,312.25
  5. Step 5: Solve for x
    x = 74,209,119,224,312.25/5,877,117
  6. Step 6: Final answer
    x = 12,626,789.50

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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.