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Finding the Third Proportional to 12,774,626,262 and 27,957,462,646

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Solution

The third proportional to 12,774,626,262 and 27,957,462,646 is: 61,185,329,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774,626,262 : 27,957,462,646 = 27,957,462,646 : x
  2. Step 2: Convert to fraction form
    12,774,626,262/27,957,462,646 = 27,957,462,646/x
  3. Step 3: Cross multiply
    12,774,626,262x = 27,957,462,646 × 27,957,462,646
  4. Step 4: Simplify right side
    12,774,626,262x = 781,619,717,602,485,338,112
  5. Step 5: Solve for x
    x = 781,619,717,602,485,338,112/12,774,626,262
  6. Step 6: Final answer
    x = 61,185,329,540.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.