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Finding the Third Proportional to 35,300,264.48 and 76,463,602.59

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Solution

The third proportional to 35,300,264.48 and 76,463,602.59 is: 165,627,159.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,300,264.48 : 76,463,602.59 = 76,463,602.59 : x
  2. Step 2: Convert to fraction form
    35,300,264.48/76,463,602.59 = 76,463,602.59/x
  3. Step 3: Cross multiply
    35,300,264.48x = 76,463,602.59 × 76,463,602.59
  4. Step 4: Simplify right side
    35,300,264.48x = 5,846,682,521,615,237
  5. Step 5: Solve for x
    x = 5,846,682,521,615,237/35,300,264.48
  6. Step 6: Final answer
    x = 165,627,159.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.