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Finding the Third Proportional to 5,224,936.64 and 8,070,371.72

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Solution

The third proportional to 5,224,936.64 and 8,070,371.72 is: 12,465,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224,936.64 : 8,070,371.72 = 8,070,371.72 : x
  2. Step 2: Convert to fraction form
    5,224,936.64/8,070,371.72 = 8,070,371.72/x
  3. Step 3: Cross multiply
    5,224,936.64x = 8,070,371.72 × 8,070,371.72
  4. Step 4: Simplify right side
    5,224,936.64x = 65,130,899,678,799.83
  5. Step 5: Solve for x
    x = 65,130,899,678,799.83/5,224,936.64
  6. Step 6: Final answer
    x = 12,465,395.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.