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Finding the Third Proportional to 17,346,221,012 and 23,404,125,046

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Solution

The third proportional to 17,346,221,012 and 23,404,125,046 is: 31,577,659,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,346,221,012 : 23,404,125,046 = 23,404,125,046 : x
  2. Step 2: Convert to fraction form
    17,346,221,012/23,404,125,046 = 23,404,125,046/x
  3. Step 3: Cross multiply
    17,346,221,012x = 23,404,125,046 × 23,404,125,046
  4. Step 4: Simplify right side
    17,346,221,012x = 547,753,069,168,804,495,360
  5. Step 5: Solve for x
    x = 547,753,069,168,804,495,360/17,346,221,012
  6. Step 6: Final answer
    x = 31,577,659,986.57

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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.