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Finding the Third Proportional to 813,650,256 and 1,766,006,793

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Solution

The third proportional to 813,650,256 and 1,766,006,793 is: 3,833,071,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,650,256 : 1,766,006,793 = 1,766,006,793 : x
  2. Step 2: Convert to fraction form
    813,650,256/1,766,006,793 = 1,766,006,793/x
  3. Step 3: Cross multiply
    813,650,256x = 1,766,006,793 × 1,766,006,793
  4. Step 4: Simplify right side
    813,650,256x = 3,118,779,992,922,144,768
  5. Step 5: Solve for x
    x = 3,118,779,992,922,144,768/813,650,256
  6. Step 6: Final answer
    x = 3,833,071,974.01

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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.