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Finding the Third Proportional to 8,255,973 and 12,141,295.50

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Solution

The third proportional to 8,255,973 and 12,141,295.50 is: 17,855,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255,973 : 12,141,295.50 = 12,141,295.50 : x
  2. Step 2: Convert to fraction form
    8,255,973/12,141,295.50 = 12,141,295.50/x
  3. Step 3: Cross multiply
    8,255,973x = 12,141,295.50 × 12,141,295.50
  4. Step 4: Simplify right side
    8,255,973x = 147,411,056,418,320.25
  5. Step 5: Solve for x
    x = 147,411,056,418,320.25/8,255,973
  6. Step 6: Final answer
    x = 17,855,079.76

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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.