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Finding the Third Proportional to 29,488,998,242 and 64,988,793,481

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Solution

The third proportional to 29,488,998,242 and 64,988,793,481 is: 143,224,372,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,488,998,242 : 64,988,793,481 = 64,988,793,481 : x
  2. Step 2: Convert to fraction form
    29,488,998,242/64,988,793,481 = 64,988,793,481/x
  3. Step 3: Cross multiply
    29,488,998,242x = 64,988,793,481 × 64,988,793,481
  4. Step 4: Simplify right side
    29,488,998,242x = 4,223,543,278,116,068,130,816
  5. Step 5: Solve for x
    x = 4,223,543,278,116,068,130,816/29,488,998,242
  6. Step 6: Final answer
    x = 143,224,372,813.75

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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.