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Finding the Third Proportional to 4,258,605,675 and 9,318,657,630

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Solution

The third proportional to 4,258,605,675 and 9,318,657,630 is: 20,391,035,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258,605,675 : 9,318,657,630 = 9,318,657,630 : x
  2. Step 2: Convert to fraction form
    4,258,605,675/9,318,657,630 = 9,318,657,630/x
  3. Step 3: Cross multiply
    4,258,605,675x = 9,318,657,630 × 9,318,657,630
  4. Step 4: Simplify right side
    4,258,605,675x = 86,837,380,025,157,222,400
  5. Step 5: Solve for x
    x = 86,837,380,025,157,222,400/4,258,605,675
  6. Step 6: Final answer
    x = 20,391,035,623.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.