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Finding the Third Proportional to 24,721,985.50 and 36,368,513

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Solution

The third proportional to 24,721,985.50 and 36,368,513 is: 53,501,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,721,985.50 : 36,368,513 = 36,368,513 : x
  2. Step 2: Convert to fraction form
    24,721,985.50/36,368,513 = 36,368,513/x
  3. Step 3: Cross multiply
    24,721,985.50x = 36,368,513 × 36,368,513
  4. Step 4: Simplify right side
    24,721,985.50x = 1,322,668,737,831,169
  5. Step 5: Solve for x
    x = 1,322,668,737,831,169/24,721,985.50
  6. Step 6: Final answer
    x = 53,501,719.67

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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.