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Finding the Third Proportional to 35,905,491 and 56,864,197.13

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Solution

The third proportional to 35,905,491 and 56,864,197.13 is: 90,056,891.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,905,491 : 56,864,197.13 = 56,864,197.13 : x
  2. Step 2: Convert to fraction form
    35,905,491/56,864,197.13 = 56,864,197.13/x
  3. Step 3: Cross multiply
    35,905,491x = 56,864,197.13 × 56,864,197.13
  4. Step 4: Simplify right side
    35,905,491x = 3,233,536,914,670,858.50
  5. Step 5: Solve for x
    x = 3,233,536,914,670,858.50/35,905,491
  6. Step 6: Final answer
    x = 90,056,891.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.