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Finding the Third Proportional to 5,268,754,194 and 11,455,803,444

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Solution

The third proportional to 5,268,754,194 and 11,455,803,444 is: 24,908,247,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268,754,194 : 11,455,803,444 = 11,455,803,444 : x
  2. Step 2: Convert to fraction form
    5,268,754,194/11,455,803,444 = 11,455,803,444/x
  3. Step 3: Cross multiply
    5,268,754,194x = 11,455,803,444 × 11,455,803,444
  4. Step 4: Simplify right side
    5,268,754,194x = 131,235,432,547,562,258,432
  5. Step 5: Solve for x
    x = 131,235,432,547,562,258,432/5,268,754,194
  6. Step 6: Final answer
    x = 24,908,247,322.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.