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Finding the Third Proportional to 6,276,155,012 and 13,655,502,475

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Solution

The third proportional to 6,276,155,012 and 13,655,502,475 is: 29,711,303,734.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276,155,012 : 13,655,502,475 = 13,655,502,475 : x
  2. Step 2: Convert to fraction form
    6,276,155,012/13,655,502,475 = 13,655,502,475/x
  3. Step 3: Cross multiply
    6,276,155,012x = 13,655,502,475 × 13,655,502,475
  4. Step 4: Simplify right side
    6,276,155,012x = 186,472,747,844,731,109,376
  5. Step 5: Solve for x
    x = 186,472,747,844,731,109,376/6,276,155,012
  6. Step 6: Final answer
    x = 29,711,303,734.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.