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Finding the Third Proportional to 10,675,368,472 and 22,234,330,665

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Solution

The third proportional to 10,675,368,472 and 22,234,330,665 is: 46,308,983,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675,368,472 : 22,234,330,665 = 22,234,330,665 : x
  2. Step 2: Convert to fraction form
    10,675,368,472/22,234,330,665 = 22,234,330,665/x
  3. Step 3: Cross multiply
    10,675,368,472x = 22,234,330,665 × 22,234,330,665
  4. Step 4: Simplify right side
    10,675,368,472x = 494,365,460,120,559,353,856
  5. Step 5: Solve for x
    x = 494,365,460,120,559,353,856/10,675,368,472
  6. Step 6: Final answer
    x = 46,308,983,284.02

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.