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Finding the Third Proportional to 11,430,936 and 15,746,724

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Solution

The third proportional to 11,430,936 and 15,746,724 is: 21,691,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430,936 : 15,746,724 = 15,746,724 : x
  2. Step 2: Convert to fraction form
    11,430,936/15,746,724 = 15,746,724/x
  3. Step 3: Cross multiply
    11,430,936x = 15,746,724 × 15,746,724
  4. Step 4: Simplify right side
    11,430,936x = 247,959,316,732,176
  5. Step 5: Solve for x
    x = 247,959,316,732,176/11,430,936
  6. Step 6: Final answer
    x = 21,691,952.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.