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Finding the Third Proportional to 9,224,965,044 and 13,776,997,104

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Solution

The third proportional to 9,224,965,044 and 13,776,997,104 is: 20,575,216,090.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224,965,044 : 13,776,997,104 = 13,776,997,104 : x
  2. Step 2: Convert to fraction form
    9,224,965,044/13,776,997,104 = 13,776,997,104/x
  3. Step 3: Cross multiply
    9,224,965,044x = 13,776,997,104 × 13,776,997,104
  4. Step 4: Simplify right side
    9,224,965,044x = 189,805,649,203,624,378,368
  5. Step 5: Solve for x
    x = 189,805,649,203,624,378,368/9,224,965,044
  6. Step 6: Final answer
    x = 20,575,216,090.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.