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Finding the Third Proportional to 52,589,817 and 78,590,386.69

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Solution

The third proportional to 52,589,817 and 78,590,386.69 is: 117,445,719.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,589,817 : 78,590,386.69 = 78,590,386.69 : x
  2. Step 2: Convert to fraction form
    52,589,817/78,590,386.69 = 78,590,386.69/x
  3. Step 3: Cross multiply
    52,589,817x = 78,590,386.69 × 78,590,386.69
  4. Step 4: Simplify right side
    52,589,817x = 6,176,448,879,690,777
  5. Step 5: Solve for x
    x = 6,176,448,879,690,777/52,589,817
  6. Step 6: Final answer
    x = 117,445,719.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.