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Finding the Third Proportional to 920,696,856 and 1,972,718,544

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Solution

The third proportional to 920,696,856 and 1,972,718,544 is: 4,226,818,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,696,856 : 1,972,718,544 = 1,972,718,544 : x
  2. Step 2: Convert to fraction form
    920,696,856/1,972,718,544 = 1,972,718,544/x
  3. Step 3: Cross multiply
    920,696,856x = 1,972,718,544 × 1,972,718,544
  4. Step 4: Simplify right side
    920,696,856x = 3,891,618,453,841,479,680
  5. Step 5: Solve for x
    x = 3,891,618,453,841,479,680/920,696,856
  6. Step 6: Final answer
    x = 4,226,818,445.70

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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.