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Finding the Third Proportional to 2,869,664,810 and 5,968,358,092

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Solution

The third proportional to 2,869,664,810 and 5,968,358,092 is: 12,413,051,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869,664,810 : 5,968,358,092 = 5,968,358,092 : x
  2. Step 2: Convert to fraction form
    2,869,664,810/5,968,358,092 = 5,968,358,092/x
  3. Step 3: Cross multiply
    2,869,664,810x = 5,968,358,092 × 5,968,358,092
  4. Step 4: Simplify right side
    2,869,664,810x = 35,621,298,314,341,879,808
  5. Step 5: Solve for x
    x = 35,621,298,314,341,879,808/2,869,664,810
  6. Step 6: Final answer
    x = 12,413,051,932.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.