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Finding the Third Proportional to 331,910,506,486 and 714,161,370,216

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Solution

The third proportional to 331,910,506,486 and 714,161,370,216 is: 1,536,638,499,662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,910,506,486 : 714,161,370,216 = 714,161,370,216 : x
  2. Step 2: Convert to fraction form
    331,910,506,486/714,161,370,216 = 714,161,370,216/x
  3. Step 3: Cross multiply
    331,910,506,486x = 714,161,370,216 × 714,161,370,216
  4. Step 4: Simplify right side
    331,910,506,486x = 510,026,462,708,794,608,582,656
  5. Step 5: Solve for x
    x = 510,026,462,708,794,608,582,656/331,910,506,486
  6. Step 6: Final answer
    x = 1,536,638,499,662.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.