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Finding the Third Proportional to 7,358,208,192 and 16,140,981,348

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Solution

The third proportional to 7,358,208,192 and 16,140,981,348 is: 35,406,891,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358,208,192 : 16,140,981,348 = 16,140,981,348 : x
  2. Step 2: Convert to fraction form
    7,358,208,192/16,140,981,348 = 16,140,981,348/x
  3. Step 3: Cross multiply
    7,358,208,192x = 16,140,981,348 × 16,140,981,348
  4. Step 4: Simplify right side
    7,358,208,192x = 260,531,278,876,483,911,680
  5. Step 5: Solve for x
    x = 260,531,278,876,483,911,680/7,358,208,192
  6. Step 6: Final answer
    x = 35,406,891,471.18

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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.