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Finding the Third Proportional to 3,854,655.84 and 8,570,963.11

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Solution

The third proportional to 3,854,655.84 and 8,570,963.11 is: 19,057,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854,655.84 : 8,570,963.11 = 8,570,963.11 : x
  2. Step 2: Convert to fraction form
    3,854,655.84/8,570,963.11 = 8,570,963.11/x
  3. Step 3: Cross multiply
    3,854,655.84x = 8,570,963.11 × 8,570,963.11
  4. Step 4: Simplify right side
    3,854,655.84x = 73,461,408,622,267.17
  5. Step 5: Solve for x
    x = 73,461,408,622,267.17/3,854,655.84
  6. Step 6: Final answer
    x = 19,057,838.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.