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Finding the Third Proportional to 9,224,965,046 and 13,776,997,107

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Solution

The third proportional to 9,224,965,046 and 13,776,997,107 is: 20,575,216,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224,965,046 : 13,776,997,107 = 13,776,997,107 : x
  2. Step 2: Convert to fraction form
    9,224,965,046/13,776,997,107 = 13,776,997,107/x
  3. Step 3: Cross multiply
    9,224,965,046x = 13,776,997,107 × 13,776,997,107
  4. Step 4: Simplify right side
    9,224,965,046x = 189,805,649,286,286,376,960
  5. Step 5: Solve for x
    x = 189,805,649,286,286,376,960/9,224,965,046
  6. Step 6: Final answer
    x = 20,575,216,094.57

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