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Finding the Third Proportional to 314,219,800,368 and 689,274,172,320

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Solution

The third proportional to 314,219,800,368 and 689,274,172,320 is: 1,511,995,374,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,219,800,368 : 689,274,172,320 = 689,274,172,320 : x
  2. Step 2: Convert to fraction form
    314,219,800,368/689,274,172,320 = 689,274,172,320/x
  3. Step 3: Cross multiply
    314,219,800,368x = 689,274,172,320 × 689,274,172,320
  4. Step 4: Simplify right side
    314,219,800,368x = 475,098,884,627,421,026,320,384
  5. Step 5: Solve for x
    x = 475,098,884,627,421,026,320,384/314,219,800,368
  6. Step 6: Final answer
    x = 1,511,995,374,164.86

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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.