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Finding the Third Proportional to 8,947,552 and 19,467,968

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Solution

The third proportional to 8,947,552 and 19,467,968 is: 42,358,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947,552 : 19,467,968 = 19,467,968 : x
  2. Step 2: Convert to fraction form
    8,947,552/19,467,968 = 19,467,968/x
  3. Step 3: Cross multiply
    8,947,552x = 19,467,968 × 19,467,968
  4. Step 4: Simplify right side
    8,947,552x = 379,001,778,049,024
  5. Step 5: Solve for x
    x = 379,001,778,049,024/8,947,552
  6. Step 6: Final answer
    x = 42,358,153.16

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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.