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Finding the Third Proportional to 12,169,653 and 18,818,281.50

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Solution

The third proportional to 12,169,653 and 18,818,281.50 is: 29,099,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169,653 : 18,818,281.50 = 18,818,281.50 : x
  2. Step 2: Convert to fraction form
    12,169,653/18,818,281.50 = 18,818,281.50/x
  3. Step 3: Cross multiply
    12,169,653x = 18,818,281.50 × 18,818,281.50
  4. Step 4: Simplify right side
    12,169,653x = 354,127,718,613,242.25
  5. Step 5: Solve for x
    x = 354,127,718,613,242.25/12,169,653
  6. Step 6: Final answer
    x = 29,099,245.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.