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Finding the Third Proportional to 2,725,835,931 and 5,929,264,278

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Solution

The third proportional to 2,725,835,931 and 5,929,264,278 is: 12,897,392,127.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,835,931 : 5,929,264,278 = 5,929,264,278 : x
  2. Step 2: Convert to fraction form
    2,725,835,931/5,929,264,278 = 5,929,264,278/x
  3. Step 3: Cross multiply
    2,725,835,931x = 5,929,264,278 × 5,929,264,278
  4. Step 4: Simplify right side
    2,725,835,931x = 35,156,174,878,366,859,264
  5. Step 5: Solve for x
    x = 35,156,174,878,366,859,264/2,725,835,931
  6. Step 6: Final answer
    x = 12,897,392,127.88

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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.