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Finding the Third Proportional to 10,223,832 and 21,884,159

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Solution

The third proportional to 10,223,832 and 21,884,159 is: 46,843,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223,832 : 21,884,159 = 21,884,159 : x
  2. Step 2: Convert to fraction form
    10,223,832/21,884,159 = 21,884,159/x
  3. Step 3: Cross multiply
    10,223,832x = 21,884,159 × 21,884,159
  4. Step 4: Simplify right side
    10,223,832x = 478,916,415,137,281
  5. Step 5: Solve for x
    x = 478,916,415,137,281/10,223,832
  6. Step 6: Final answer
    x = 46,843,142.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.