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Finding the Third Proportional to 4,851,633,115 and 7,258,055,323

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Solution

The third proportional to 4,851,633,115 and 7,258,055,323 is: 10,858,068,988.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851,633,115 : 7,258,055,323 = 7,258,055,323 : x
  2. Step 2: Convert to fraction form
    4,851,633,115/7,258,055,323 = 7,258,055,323/x
  3. Step 3: Cross multiply
    4,851,633,115x = 7,258,055,323 × 7,258,055,323
  4. Step 4: Simplify right side
    4,851,633,115x = 52,679,367,071,728,631,808
  5. Step 5: Solve for x
    x = 52,679,367,071,728,631,808/4,851,633,115
  6. Step 6: Final answer
    x = 10,858,068,988.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.