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Finding the Third Proportional to 10,499,580 and 21,837,239

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Solution

The third proportional to 10,499,580 and 21,837,239 is: 45,417,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499,580 : 21,837,239 = 21,837,239 : x
  2. Step 2: Convert to fraction form
    10,499,580/21,837,239 = 21,837,239/x
  3. Step 3: Cross multiply
    10,499,580x = 21,837,239 × 21,837,239
  4. Step 4: Simplify right side
    10,499,580x = 476,865,007,143,121
  5. Step 5: Solve for x
    x = 476,865,007,143,121/10,499,580
  6. Step 6: Final answer
    x = 45,417,531.67

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Why These Related Problems?

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