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Finding the Third Proportional to 9,132,312 and 19,677,432

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Solution

The third proportional to 9,132,312 and 19,677,432 is: 42,399,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132,312 : 19,677,432 = 19,677,432 : x
  2. Step 2: Convert to fraction form
    9,132,312/19,677,432 = 19,677,432/x
  3. Step 3: Cross multiply
    9,132,312x = 19,677,432 × 19,677,432
  4. Step 4: Simplify right side
    9,132,312x = 387,201,330,114,624
  5. Step 5: Solve for x
    x = 387,201,330,114,624/9,132,312
  6. Step 6: Final answer
    x = 42,399,047.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.