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Finding the Third Proportional to 12,774,626,254 and 27,957,462,630

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Solution

The third proportional to 12,774,626,254 and 27,957,462,630 is: 61,185,329,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774,626,254 : 27,957,462,630 = 27,957,462,630 : x
  2. Step 2: Convert to fraction form
    12,774,626,254/27,957,462,630 = 27,957,462,630/x
  3. Step 3: Cross multiply
    12,774,626,254x = 27,957,462,630 × 27,957,462,630
  4. Step 4: Simplify right side
    12,774,626,254x = 781,619,716,707,846,455,296
  5. Step 5: Solve for x
    x = 781,619,716,707,846,455,296/12,774,626,254
  6. Step 6: Final answer
    x = 61,185,329,509.20

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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.