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Finding the Third Proportional to 10,278,335,592 and 22,515,208,416

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Solution

The third proportional to 10,278,335,592 and 22,515,208,416 is: 49,320,690,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278,335,592 : 22,515,208,416 = 22,515,208,416 : x
  2. Step 2: Convert to fraction form
    10,278,335,592/22,515,208,416 = 22,515,208,416/x
  3. Step 3: Cross multiply
    10,278,335,592x = 22,515,208,416 × 22,515,208,416
  4. Step 4: Simplify right side
    10,278,335,592x = 506,934,610,015,917,244,416
  5. Step 5: Solve for x
    x = 506,934,610,015,917,244,416/10,278,335,592
  6. Step 6: Final answer
    x = 49,320,690,638.91

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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.