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Finding the Third Proportional to 12,596,339,468.81 and 27,062,009,735.62

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Solution

The third proportional to 12,596,339,468.81 and 27,062,009,735.62 is: 58,140,094,806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596,339,468.81 : 27,062,009,735.62 = 27,062,009,735.62 : x
  2. Step 2: Convert to fraction form
    12,596,339,468.81/27,062,009,735.62 = 27,062,009,735.62/x
  3. Step 3: Cross multiply
    12,596,339,468.81x = 27,062,009,735.62 × 27,062,009,735.62
  4. Step 4: Simplify right side
    12,596,339,468.81x = 732,352,370,931,008,143,360
  5. Step 5: Solve for x
    x = 732,352,370,931,008,143,360/12,596,339,468.81
  6. Step 6: Final answer
    x = 58,140,094,806.45

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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.