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Finding the Third Proportional to 2,887,896,314 and 6,329,421,292

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Solution

The third proportional to 2,887,896,314 and 6,329,421,292 is: 13,872,234,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887,896,314 : 6,329,421,292 = 6,329,421,292 : x
  2. Step 2: Convert to fraction form
    2,887,896,314/6,329,421,292 = 6,329,421,292/x
  3. Step 3: Cross multiply
    2,887,896,314x = 6,329,421,292 × 6,329,421,292
  4. Step 4: Simplify right side
    2,887,896,314x = 40,061,573,891,622,952,960
  5. Step 5: Solve for x
    x = 40,061,573,891,622,952,960/2,887,896,314
  6. Step 6: Final answer
    x = 13,872,234,157.93

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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.