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Finding the Third Proportional to 4,851,633,160 and 7,258,055,390

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Solution

The third proportional to 4,851,633,160 and 7,258,055,390 is: 10,858,069,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851,633,160 : 7,258,055,390 = 7,258,055,390 : x
  2. Step 2: Convert to fraction form
    4,851,633,160/7,258,055,390 = 7,258,055,390/x
  3. Step 3: Cross multiply
    4,851,633,160x = 7,258,055,390 × 7,258,055,390
  4. Step 4: Simplify right side
    4,851,633,160x = 52,679,368,044,308,054,016
  5. Step 5: Solve for x
    x = 52,679,368,044,308,054,016/4,851,633,160
  6. Step 6: Final answer
    x = 10,858,069,088.70

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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.