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Finding the Third Proportional to 920,701,986 and 1,972,403,652

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Solution

The third proportional to 920,701,986 and 1,972,403,652 is: 4,225,445,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,701,986 : 1,972,403,652 = 1,972,403,652 : x
  2. Step 2: Convert to fraction form
    920,701,986/1,972,403,652 = 1,972,403,652/x
  3. Step 3: Cross multiply
    920,701,986x = 1,972,403,652 × 1,972,403,652
  4. Step 4: Simplify right side
    920,701,986x = 3,890,376,166,422,937,088
  5. Step 5: Solve for x
    x = 3,890,376,166,422,937,088/920,701,986
  6. Step 6: Final answer
    x = 4,225,445,611.70

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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.