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Finding the Third Proportional to 299,204,508,840 and 658,249,191,120

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Solution

The third proportional to 299,204,508,840 and 658,249,191,120 is: 1,448,146,618,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,204,508,840 : 658,249,191,120 = 658,249,191,120 : x
  2. Step 2: Convert to fraction form
    299,204,508,840/658,249,191,120 = 658,249,191,120/x
  3. Step 3: Cross multiply
    299,204,508,840x = 658,249,191,120 × 658,249,191,120
  4. Step 4: Simplify right side
    299,204,508,840x = 433,291,997,610,134,256,746,496
  5. Step 5: Solve for x
    x = 433,291,997,610,134,256,746,496/299,204,508,840
  6. Step 6: Final answer
    x = 1,448,146,618,144.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.