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Finding the Third Proportional to 762,920,690 and 1,647,805,972

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Solution

The third proportional to 762,920,690 and 1,647,805,972 is: 3,559,039,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,920,690 : 1,647,805,972 = 1,647,805,972 : x
  2. Step 2: Convert to fraction form
    762,920,690/1,647,805,972 = 1,647,805,972/x
  3. Step 3: Cross multiply
    762,920,690x = 1,647,805,972 × 1,647,805,972
  4. Step 4: Simplify right side
    762,920,690x = 2,715,264,521,358,864,896
  5. Step 5: Solve for x
    x = 2,715,264,521,358,864,896/762,920,690
  6. Step 6: Final answer
    x = 3,559,039,041.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.