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Finding the Third Proportional to 6,357,072 and 13,923,411

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Solution

The third proportional to 6,357,072 and 13,923,411 is: 30,495,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357,072 : 13,923,411 = 13,923,411 : x
  2. Step 2: Convert to fraction form
    6,357,072/13,923,411 = 13,923,411/x
  3. Step 3: Cross multiply
    6,357,072x = 13,923,411 × 13,923,411
  4. Step 4: Simplify right side
    6,357,072x = 193,861,373,874,921
  5. Step 5: Solve for x
    x = 193,861,373,874,921/6,357,072
  6. Step 6: Final answer
    x = 30,495,387.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.