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Finding the Third Proportional to 6,116,648,925 and 9,436,876,140

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Solution

The third proportional to 6,116,648,925 and 9,436,876,140 is: 14,559,382,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116,648,925 : 9,436,876,140 = 9,436,876,140 : x
  2. Step 2: Convert to fraction form
    6,116,648,925/9,436,876,140 = 9,436,876,140/x
  3. Step 3: Cross multiply
    6,116,648,925x = 9,436,876,140 × 9,436,876,140
  4. Step 4: Simplify right side
    6,116,648,925x = 89,054,631,281,701,306,368
  5. Step 5: Solve for x
    x = 89,054,631,281,701,306,368/6,116,648,925
  6. Step 6: Final answer
    x = 14,559,382,494.18

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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.