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Finding the Third Proportional to 135,579,024 and 296,509,752

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Solution

The third proportional to 135,579,024 and 296,509,752 is: 648,463,386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,579,024 : 296,509,752 = 296,509,752 : x
  2. Step 2: Convert to fraction form
    135,579,024/296,509,752 = 296,509,752/x
  3. Step 3: Cross multiply
    135,579,024x = 296,509,752 × 296,509,752
  4. Step 4: Simplify right side
    135,579,024x = 87,918,033,031,101,504
  5. Step 5: Solve for x
    x = 87,918,033,031,101,504/135,579,024
  6. Step 6: Final answer
    x = 648,463,386.42

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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.