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Finding the Third Proportional to 24,020,759,947 and 51,656,561,662

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Solution

The third proportional to 24,020,759,947 and 51,656,561,662 is: 111,087,258,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,020,759,947 : 51,656,561,662 = 51,656,561,662 : x
  2. Step 2: Convert to fraction form
    24,020,759,947/51,656,561,662 = 51,656,561,662/x
  3. Step 3: Cross multiply
    24,020,759,947x = 51,656,561,662 × 51,656,561,662
  4. Step 4: Simplify right side
    24,020,759,947x = 2,668,400,362,740,008,353,792
  5. Step 5: Solve for x
    x = 2,668,400,362,740,008,353,792/24,020,759,947
  6. Step 6: Final answer
    x = 111,087,258,214.46

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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.