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Finding the Third Proportional to 2,422,755,465 and 5,258,996,946

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Solution

The third proportional to 2,422,755,465 and 5,258,996,946 is: 11,415,534,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,755,465 : 5,258,996,946 = 5,258,996,946 : x
  2. Step 2: Convert to fraction form
    2,422,755,465/5,258,996,946 = 5,258,996,946/x
  3. Step 3: Cross multiply
    2,422,755,465x = 5,258,996,946 × 5,258,996,946
  4. Step 4: Simplify right side
    2,422,755,465x = 27,657,048,878,037,327,872
  5. Step 5: Solve for x
    x = 27,657,048,878,037,327,872/2,422,755,465
  6. Step 6: Final answer
    x = 11,415,534,616.51

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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.