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Finding the Third Proportional to 1,298,801,209 and 2,835,673,081

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Solution

The third proportional to 1,298,801,209 and 2,835,673,081 is: 6,191,125,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,801,209 : 2,835,673,081 = 2,835,673,081 : x
  2. Step 2: Convert to fraction form
    1,298,801,209/2,835,673,081 = 2,835,673,081/x
  3. Step 3: Cross multiply
    1,298,801,209x = 2,835,673,081 × 2,835,673,081
  4. Step 4: Simplify right side
    1,298,801,209x = 8,041,041,822,308,032,512
  5. Step 5: Solve for x
    x = 8,041,041,822,308,032,512/1,298,801,209
  6. Step 6: Final answer
    x = 6,191,125,914.10

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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.