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Finding the Third Proportional to 11,774,949,284 and 23,895,899,464

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Solution

The third proportional to 11,774,949,284 and 23,895,899,464 is: 48,493,967,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774,949,284 : 23,895,899,464 = 23,895,899,464 : x
  2. Step 2: Convert to fraction form
    11,774,949,284/23,895,899,464 = 23,895,899,464/x
  3. Step 3: Cross multiply
    11,774,949,284x = 23,895,899,464 × 23,895,899,464
  4. Step 4: Simplify right side
    11,774,949,284x = 571,014,011,193,595,461,632
  5. Step 5: Solve for x
    x = 571,014,011,193,595,461,632/11,774,949,284
  6. Step 6: Final answer
    x = 48,493,967,780.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.