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Finding the Third Proportional to 32,027,679,894 and 68,875,415,475

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Solution

The third proportional to 32,027,679,894 and 68,875,415,475 is: 148,116,344,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,027,679,894 : 68,875,415,475 = 68,875,415,475 : x
  2. Step 2: Convert to fraction form
    32,027,679,894/68,875,415,475 = 68,875,415,475/x
  3. Step 3: Cross multiply
    32,027,679,894x = 68,875,415,475 × 68,875,415,475
  4. Step 4: Simplify right side
    32,027,679,894x = 4,743,822,856,853,869,559,808
  5. Step 5: Solve for x
    x = 4,743,822,856,853,869,559,808/32,027,679,894
  6. Step 6: Final answer
    x = 148,116,344,129.65

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