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Finding the Third Proportional to 12,774,626,261 and 27,957,462,643

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Solution

The third proportional to 12,774,626,261 and 27,957,462,643 is: 61,185,329,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774,626,261 : 27,957,462,643 = 27,957,462,643 : x
  2. Step 2: Convert to fraction form
    12,774,626,261/27,957,462,643 = 27,957,462,643/x
  3. Step 3: Cross multiply
    12,774,626,261x = 27,957,462,643 × 27,957,462,643
  4. Step 4: Simplify right side
    12,774,626,261x = 781,619,717,434,740,572,160
  5. Step 5: Solve for x
    x = 781,619,717,434,740,572,160/12,774,626,261
  6. Step 6: Final answer
    x = 61,185,329,532.57

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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.