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Finding the Third Proportional to 920,701,984 and 1,972,403,648

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Solution

The third proportional to 920,701,984 and 1,972,403,648 is: 4,225,445,603.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,701,984 : 1,972,403,648 = 1,972,403,648 : x
  2. Step 2: Convert to fraction form
    920,701,984/1,972,403,648 = 1,972,403,648/x
  3. Step 3: Cross multiply
    920,701,984x = 1,972,403,648 × 1,972,403,648
  4. Step 4: Simplify right side
    920,701,984x = 3,890,376,150,643,707,904
  5. Step 5: Solve for x
    x = 3,890,376,150,643,707,904/920,701,984
  6. Step 6: Final answer
    x = 4,225,445,603.74

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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.