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Finding the Third Proportional to 4,777,403,814 and 7,166,106,632.25

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Solution

The third proportional to 4,777,403,814 and 7,166,106,632.25 is: 10,749,161,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777,403,814 : 7,166,106,632.25 = 7,166,106,632.25 : x
  2. Step 2: Convert to fraction form
    4,777,403,814/7,166,106,632.25 = 7,166,106,632.25/x
  3. Step 3: Cross multiply
    4,777,403,814x = 7,166,106,632.25 × 7,166,106,632.25
  4. Step 4: Simplify right side
    4,777,403,814x = 51,353,084,264,777,433,088
  5. Step 5: Solve for x
    x = 51,353,084,264,777,433,088/4,777,403,814
  6. Step 6: Final answer
    x = 10,749,161,315.25

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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.