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Finding the Third Proportional to 29,820,112 and 65,223,392

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Solution

The third proportional to 29,820,112 and 65,223,392 is: 142,658,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820,112 : 65,223,392 = 65,223,392 : x
  2. Step 2: Convert to fraction form
    29,820,112/65,223,392 = 65,223,392/x
  3. Step 3: Cross multiply
    29,820,112x = 65,223,392 × 65,223,392
  4. Step 4: Simplify right side
    29,820,112x = 4,254,090,863,985,664
  5. Step 5: Solve for x
    x = 4,254,090,863,985,664/29,820,112
  6. Step 6: Final answer
    x = 142,658,446.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.