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Finding the Third Proportional to 7,746,992,710 and 16,571,039,179

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Solution

The third proportional to 7,746,992,710 and 16,571,039,179 is: 35,445,927,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746,992,710 : 16,571,039,179 = 16,571,039,179 : x
  2. Step 2: Convert to fraction form
    7,746,992,710/16,571,039,179 = 16,571,039,179/x
  3. Step 3: Cross multiply
    7,746,992,710x = 16,571,039,179 × 16,571,039,179
  4. Step 4: Simplify right side
    7,746,992,710x = 274,599,339,471,953,002,496
  5. Step 5: Solve for x
    x = 274,599,339,471,953,002,496/7,746,992,710
  6. Step 6: Final answer
    x = 35,445,927,181.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.