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Finding the Third Proportional to 32,027,679,890.92 and 68,875,415,468.64

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Solution

The third proportional to 32,027,679,890.92 and 68,875,415,468.64 is: 148,116,344,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,027,679,890.92 : 68,875,415,468.64 = 68,875,415,468.64 : x
  2. Step 2: Convert to fraction form
    32,027,679,890.92/68,875,415,468.64 = 68,875,415,468.64/x
  3. Step 3: Cross multiply
    32,027,679,890.92x = 68,875,415,468.64 × 68,875,415,468.64
  4. Step 4: Simplify right side
    32,027,679,890.92x = 4,743,822,855,977,359,638,528
  5. Step 5: Solve for x
    x = 4,743,822,855,977,359,638,528/32,027,679,890.92
  6. Step 6: Final answer
    x = 148,116,344,116.55

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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.