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Finding the Third Proportional to 6,852,827,850 and 9,246,073,734

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Solution

The third proportional to 6,852,827,850 and 9,246,073,734 is: 12,475,124,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852,827,850 : 9,246,073,734 = 9,246,073,734 : x
  2. Step 2: Convert to fraction form
    6,852,827,850/9,246,073,734 = 9,246,073,734/x
  3. Step 3: Cross multiply
    6,852,827,850x = 9,246,073,734 × 9,246,073,734
  4. Step 4: Simplify right side
    6,852,827,850x = 85,489,879,494,564,708,352
  5. Step 5: Solve for x
    x = 85,489,879,494,564,708,352/6,852,827,850
  6. Step 6: Final answer
    x = 12,475,124,337.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.