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Finding the Third Proportional to 1,092,963,960 and 2,342,132,208

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Solution

The third proportional to 1,092,963,960 and 2,342,132,208 is: 5,018,997,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,963,960 : 2,342,132,208 = 2,342,132,208 : x
  2. Step 2: Convert to fraction form
    1,092,963,960/2,342,132,208 = 2,342,132,208/x
  3. Step 3: Cross multiply
    1,092,963,960x = 2,342,132,208 × 2,342,132,208
  4. Step 4: Simplify right side
    1,092,963,960x = 5,485,583,279,750,955,008
  5. Step 5: Solve for x
    x = 5,485,583,279,750,955,008/1,092,963,960
  6. Step 6: Final answer
    x = 5,018,997,405.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.