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Finding the Third Proportional to 15,756,408,362 and 34,127,512,276

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Solution

The third proportional to 15,756,408,362 and 34,127,512,276 is: 73,918,311,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756,408,362 : 34,127,512,276 = 34,127,512,276 : x
  2. Step 2: Convert to fraction form
    15,756,408,362/34,127,512,276 = 34,127,512,276/x
  3. Step 3: Cross multiply
    15,756,408,362x = 34,127,512,276 × 34,127,512,276
  4. Step 4: Simplify right side
    15,756,408,362x = 1,164,687,094,148,530,700,288
  5. Step 5: Solve for x
    x = 1,164,687,094,148,530,700,288/15,756,408,362
  6. Step 6: Final answer
    x = 73,918,311,038.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.