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Finding the Third Proportional to 920,701,988 and 1,972,403,656

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Solution

The third proportional to 920,701,988 and 1,972,403,656 is: 4,225,445,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,701,988 : 1,972,403,656 = 1,972,403,656 : x
  2. Step 2: Convert to fraction form
    920,701,988/1,972,403,656 = 1,972,403,656/x
  3. Step 3: Cross multiply
    920,701,988x = 1,972,403,656 × 1,972,403,656
  4. Step 4: Simplify right side
    920,701,988x = 3,890,376,182,202,166,272
  5. Step 5: Solve for x
    x = 3,890,376,182,202,166,272/920,701,988
  6. Step 6: Final answer
    x = 4,225,445,619.65

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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.