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Finding the Third Proportional to 1,435,706,992 and 3,116,442,736

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Solution

The third proportional to 1,435,706,992 and 3,116,442,736 is: 6,764,761,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,706,992 : 3,116,442,736 = 3,116,442,736 : x
  2. Step 2: Convert to fraction form
    1,435,706,992/3,116,442,736 = 3,116,442,736/x
  3. Step 3: Cross multiply
    1,435,706,992x = 3,116,442,736 × 3,116,442,736
  4. Step 4: Simplify right side
    1,435,706,992x = 9,712,215,326,767,165,440
  5. Step 5: Solve for x
    x = 9,712,215,326,767,165,440/1,435,706,992
  6. Step 6: Final answer
    x = 6,764,761,459.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.