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Finding the Third Proportional to 1,298,801,205 and 2,835,673,074

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Solution

The third proportional to 1,298,801,205 and 2,835,673,074 is: 6,191,125,902.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,801,205 : 2,835,673,074 = 2,835,673,074 : x
  2. Step 2: Convert to fraction form
    1,298,801,205/2,835,673,074 = 2,835,673,074/x
  3. Step 3: Cross multiply
    1,298,801,205x = 2,835,673,074 × 2,835,673,074
  4. Step 4: Simplify right side
    1,298,801,205x = 8,041,041,782,608,609,280
  5. Step 5: Solve for x
    x = 8,041,041,782,608,609,280/1,298,801,205
  6. Step 6: Final answer
    x = 6,191,125,902.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.