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Finding the Third Proportional to 762,920,689 and 1,647,805,970

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Solution

The third proportional to 762,920,689 and 1,647,805,970 is: 3,559,039,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,920,689 : 1,647,805,970 = 1,647,805,970 : x
  2. Step 2: Convert to fraction form
    762,920,689/1,647,805,970 = 1,647,805,970/x
  3. Step 3: Cross multiply
    762,920,689x = 1,647,805,970 × 1,647,805,970
  4. Step 4: Simplify right side
    762,920,689x = 2,715,264,514,767,641,088
  5. Step 5: Solve for x
    x = 2,715,264,514,767,641,088/762,920,689
  6. Step 6: Final answer
    x = 3,559,039,037.63

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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.