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Finding the Third Proportional to 10,385,301 and 22,599,294

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Solution

The third proportional to 10,385,301 and 22,599,294 is: 49,177,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385,301 : 22,599,294 = 22,599,294 : x
  2. Step 2: Convert to fraction form
    10,385,301/22,599,294 = 22,599,294/x
  3. Step 3: Cross multiply
    10,385,301x = 22,599,294 × 22,599,294
  4. Step 4: Simplify right side
    10,385,301x = 510,728,089,298,436
  5. Step 5: Solve for x
    x = 510,728,089,298,436/10,385,301
  6. Step 6: Final answer
    x = 49,177,976.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.