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Finding the Third Proportional to 9,238,473,216 and 21,557,182,464

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Solution

The third proportional to 9,238,473,216 and 21,557,182,464 is: 50,301,830,716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238,473,216 : 21,557,182,464 = 21,557,182,464 : x
  2. Step 2: Convert to fraction form
    9,238,473,216/21,557,182,464 = 21,557,182,464/x
  3. Step 3: Cross multiply
    9,238,473,216x = 21,557,182,464 × 21,557,182,464
  4. Step 4: Simplify right side
    9,238,473,216x = 464,712,115,786,189,111,296
  5. Step 5: Solve for x
    x = 464,712,115,786,189,111,296/9,238,473,216
  6. Step 6: Final answer
    x = 50,301,830,716.07

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.