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Finding the Third Proportional to 4,013,803.13 and 5,721,764.06

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Solution

The third proportional to 4,013,803.13 and 5,721,764.06 is: 8,156,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013,803.13 : 5,721,764.06 = 5,721,764.06 : x
  2. Step 2: Convert to fraction form
    4,013,803.13/5,721,764.06 = 5,721,764.06/x
  3. Step 3: Cross multiply
    4,013,803.13x = 5,721,764.06 × 5,721,764.06
  4. Step 4: Simplify right side
    4,013,803.13x = 32,738,583,986,916.50
  5. Step 5: Solve for x
    x = 32,738,583,986,916.50/4,013,803.13
  6. Step 6: Final answer
    x = 8,156,499.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.