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Finding the Third Proportional to 2,422,755,456 and 5,258,996,928

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Solution

The third proportional to 2,422,755,456 and 5,258,996,928 is: 11,415,534,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,755,456 : 5,258,996,928 = 5,258,996,928 : x
  2. Step 2: Convert to fraction form
    2,422,755,456/5,258,996,928 = 5,258,996,928/x
  3. Step 3: Cross multiply
    2,422,755,456x = 5,258,996,928 × 5,258,996,928
  4. Step 4: Simplify right side
    2,422,755,456x = 27,657,048,688,713,437,184
  5. Step 5: Solve for x
    x = 27,657,048,688,713,437,184/2,422,755,456
  6. Step 6: Final answer
    x = 11,415,534,580.77

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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.