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Finding the Third Proportional to 1,105,834,490 and 2,375,780,276

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Solution

The third proportional to 1,105,834,490 and 2,375,780,276 is: 5,104,138,070.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,834,490 : 2,375,780,276 = 2,375,780,276 : x
  2. Step 2: Convert to fraction form
    1,105,834,490/2,375,780,276 = 2,375,780,276/x
  3. Step 3: Cross multiply
    1,105,834,490x = 2,375,780,276 × 2,375,780,276
  4. Step 4: Simplify right side
    1,105,834,490x = 5,644,331,919,830,636,544
  5. Step 5: Solve for x
    x = 5,644,331,919,830,636,544/1,105,834,490
  6. Step 6: Final answer
    x = 5,104,138,070.27

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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.