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Finding the Third Proportional to 17,346,221,011 and 23,404,125,045

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Solution

The third proportional to 17,346,221,011 and 23,404,125,045 is: 31,577,659,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,346,221,011 : 23,404,125,045 = 23,404,125,045 : x
  2. Step 2: Convert to fraction form
    17,346,221,011/23,404,125,045 = 23,404,125,045/x
  3. Step 3: Cross multiply
    17,346,221,011x = 23,404,125,045 × 23,404,125,045
  4. Step 4: Simplify right side
    17,346,221,011x = 547,753,069,121,996,259,328
  5. Step 5: Solve for x
    x = 547,753,069,121,996,259,328/17,346,221,011
  6. Step 6: Final answer
    x = 31,577,659,985.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.