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Finding the Third Proportional to 25,769,206.50 and 55,227,197.25

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Solution

The third proportional to 25,769,206.50 and 55,227,197.25 is: 118,360,001.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769,206.50 : 55,227,197.25 = 55,227,197.25 : x
  2. Step 2: Convert to fraction form
    25,769,206.50/55,227,197.25 = 55,227,197.25/x
  3. Step 3: Cross multiply
    25,769,206.50x = 55,227,197.25 × 55,227,197.25
  4. Step 4: Simplify right side
    25,769,206.50x = 3,050,043,316,090,407.50
  5. Step 5: Solve for x
    x = 3,050,043,316,090,407.50/25,769,206.50
  6. Step 6: Final answer
    x = 118,360,001.35

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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.