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Finding the Third Proportional to 10,652,838 and 23,008,224

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Solution

The third proportional to 10,652,838 and 23,008,224 is: 49,693,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652,838 : 23,008,224 = 23,008,224 : x
  2. Step 2: Convert to fraction form
    10,652,838/23,008,224 = 23,008,224/x
  3. Step 3: Cross multiply
    10,652,838x = 23,008,224 × 23,008,224
  4. Step 4: Simplify right side
    10,652,838x = 529,378,371,634,176
  5. Step 5: Solve for x
    x = 529,378,371,634,176/10,652,838
  6. Step 6: Final answer
    x = 49,693,647.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.