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Finding the Third Proportional to 10,409,904 and 22,557,247.50

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Solution

The third proportional to 10,409,904 and 22,557,247.50 is: 48,879,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409,904 : 22,557,247.50 = 22,557,247.50 : x
  2. Step 2: Convert to fraction form
    10,409,904/22,557,247.50 = 22,557,247.50/x
  3. Step 3: Cross multiply
    10,409,904x = 22,557,247.50 × 22,557,247.50
  4. Step 4: Simplify right side
    10,409,904x = 508,829,414,776,256.25
  5. Step 5: Solve for x
    x = 508,829,414,776,256.25/10,409,904
  6. Step 6: Final answer
    x = 48,879,357.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.