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Finding the Third Proportional to 32,027,679,893 and 68,875,415,473

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Solution

The third proportional to 32,027,679,893 and 68,875,415,473 is: 148,116,344,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,027,679,893 : 68,875,415,473 = 68,875,415,473 : x
  2. Step 2: Convert to fraction form
    32,027,679,893/68,875,415,473 = 68,875,415,473/x
  3. Step 3: Cross multiply
    32,027,679,893x = 68,875,415,473 × 68,875,415,473
  4. Step 4: Simplify right side
    32,027,679,893x = 4,743,822,856,578,367,750,144
  5. Step 5: Solve for x
    x = 4,743,822,856,578,367,750,144/32,027,679,893
  6. Step 6: Final answer
    x = 148,116,344,125.67

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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.