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Finding the Third Proportional to 777,649,095 and 1,700,557,272

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Solution

The third proportional to 777,649,095 and 1,700,557,272 is: 3,718,766,026.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,649,095 : 1,700,557,272 = 1,700,557,272 : x
  2. Step 2: Convert to fraction form
    777,649,095/1,700,557,272 = 1,700,557,272/x
  3. Step 3: Cross multiply
    777,649,095x = 1,700,557,272 × 1,700,557,272
  4. Step 4: Simplify right side
    777,649,095x = 2,891,895,035,352,081,920
  5. Step 5: Solve for x
    x = 2,891,895,035,352,081,920/777,649,095
  6. Step 6: Final answer
    x = 3,718,766,026.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.