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Finding the Third Proportional to 24,875,673.50 and 53,825,971

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Solution

The third proportional to 24,875,673.50 and 53,825,971 is: 116,468,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,875,673.50 : 53,825,971 = 53,825,971 : x
  2. Step 2: Convert to fraction form
    24,875,673.50/53,825,971 = 53,825,971/x
  3. Step 3: Cross multiply
    24,875,673.50x = 53,825,971 × 53,825,971
  4. Step 4: Simplify right side
    24,875,673.50x = 2,897,235,154,092,841
  5. Step 5: Solve for x
    x = 2,897,235,154,092,841/24,875,673.50
  6. Step 6: Final answer
    x = 116,468,611.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.