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Finding the Third Proportional to 3,337,528,258 and 7,255,590,212

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Solution

The third proportional to 3,337,528,258 and 7,255,590,212 is: 15,773,226,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337,528,258 : 7,255,590,212 = 7,255,590,212 : x
  2. Step 2: Convert to fraction form
    3,337,528,258/7,255,590,212 = 7,255,590,212/x
  3. Step 3: Cross multiply
    3,337,528,258x = 7,255,590,212 × 7,255,590,212
  4. Step 4: Simplify right side
    3,337,528,258x = 52,643,589,324,470,206,464
  5. Step 5: Solve for x
    x = 52,643,589,324,470,206,464/3,337,528,258
  6. Step 6: Final answer
    x = 15,773,226,548.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.