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Finding the Third Proportional to 356,036,759,097.22 and 763,758,071,258.30

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Solution

The third proportional to 356,036,759,097.22 and 763,758,071,258.30 is: 1,638,388,106,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,036,759,097.22 : 763,758,071,258.30 = 763,758,071,258.30 : x
  2. Step 2: Convert to fraction form
    356,036,759,097.22/763,758,071,258.30 = 763,758,071,258.30/x
  3. Step 3: Cross multiply
    356,036,759,097.22x = 763,758,071,258.30 × 763,758,071,258.30
  4. Step 4: Simplify right side
    356,036,759,097.22x = 583,326,391,412,198,566,002,688
  5. Step 5: Solve for x
    x = 583,326,391,412,198,566,002,688/356,036,759,097.22
  6. Step 6: Final answer
    x = 1,638,388,106,023.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.