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Finding the Third Proportional to 35,715,535 and 77,519,678

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Solution

The third proportional to 35,715,535 and 77,519,678 is: 168,254,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,715,535 : 77,519,678 = 77,519,678 : x
  2. Step 2: Convert to fraction form
    35,715,535/77,519,678 = 77,519,678/x
  3. Step 3: Cross multiply
    35,715,535x = 77,519,678 × 77,519,678
  4. Step 4: Simplify right side
    35,715,535x = 6,009,300,477,223,684
  5. Step 5: Solve for x
    x = 6,009,300,477,223,684/35,715,535
  6. Step 6: Final answer
    x = 168,254,527.82

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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.