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Finding the Third Proportional to 6,069,168 and 13,001,854.50

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Solution

The third proportional to 6,069,168 and 13,001,854.50 is: 27,853,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069,168 : 13,001,854.50 = 13,001,854.50 : x
  2. Step 2: Convert to fraction form
    6,069,168/13,001,854.50 = 13,001,854.50/x
  3. Step 3: Cross multiply
    6,069,168x = 13,001,854.50 × 13,001,854.50
  4. Step 4: Simplify right side
    6,069,168x = 169,048,220,439,170.25
  5. Step 5: Solve for x
    x = 169,048,220,439,170.25/6,069,168
  6. Step 6: Final answer
    x = 27,853,607.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.