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Finding the Third Proportional to 4,913,684 and 10,632,232

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Solution

The third proportional to 4,913,684 and 10,632,232 is: 23,006,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913,684 : 10,632,232 = 10,632,232 : x
  2. Step 2: Convert to fraction form
    4,913,684/10,632,232 = 10,632,232/x
  3. Step 3: Cross multiply
    4,913,684x = 10,632,232 × 10,632,232
  4. Step 4: Simplify right side
    4,913,684x = 113,044,357,301,824
  5. Step 5: Solve for x
    x = 113,044,357,301,824/4,913,684
  6. Step 6: Final answer
    x = 23,006,029.14

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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.