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Finding the Third Proportional to 6,116,648,920 and 9,436,876,134

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Solution

The third proportional to 6,116,648,920 and 9,436,876,134 is: 14,559,382,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116,648,920 : 9,436,876,134 = 9,436,876,134 : x
  2. Step 2: Convert to fraction form
    6,116,648,920/9,436,876,134 = 9,436,876,134/x
  3. Step 3: Cross multiply
    6,116,648,920x = 9,436,876,134 × 9,436,876,134
  4. Step 4: Simplify right side
    6,116,648,920x = 89,054,631,168,458,784,768
  5. Step 5: Solve for x
    x = 89,054,631,168,458,784,768/6,116,648,920
  6. Step 6: Final answer
    x = 14,559,382,487.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.