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Finding the Third Proportional to 12,806,049,006 and 27,749,473,506

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Solution

The third proportional to 12,806,049,006 and 27,749,473,506 is: 60,130,433,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806,049,006 : 27,749,473,506 = 27,749,473,506 : x
  2. Step 2: Convert to fraction form
    12,806,049,006/27,749,473,506 = 27,749,473,506/x
  3. Step 3: Cross multiply
    12,806,049,006x = 27,749,473,506 × 27,749,473,506
  4. Step 4: Simplify right side
    12,806,049,006x = 770,033,279,860,195,983,360
  5. Step 5: Solve for x
    x = 770,033,279,860,195,983,360/12,806,049,006
  6. Step 6: Final answer
    x = 60,130,433,633.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.