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Finding the Third Proportional to 10,830,477 and 23,786,430

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Solution

The third proportional to 10,830,477 and 23,786,430 is: 52,240,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830,477 : 23,786,430 = 23,786,430 : x
  2. Step 2: Convert to fraction form
    10,830,477/23,786,430 = 23,786,430/x
  3. Step 3: Cross multiply
    10,830,477x = 23,786,430 × 23,786,430
  4. Step 4: Simplify right side
    10,830,477x = 565,794,252,144,900
  5. Step 5: Solve for x
    x = 565,794,252,144,900/10,830,477
  6. Step 6: Final answer
    x = 52,240,935.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.