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Finding the Third Proportional to 69,896,535 and 109,408,066

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Solution

The third proportional to 69,896,535 and 109,408,066 is: 171,254,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,896,535 : 109,408,066 = 109,408,066 : x
  2. Step 2: Convert to fraction form
    69,896,535/109,408,066 = 109,408,066/x
  3. Step 3: Cross multiply
    69,896,535x = 109,408,066 × 109,408,066
  4. Step 4: Simplify right side
    69,896,535x = 11,970,124,905,860,356
  5. Step 5: Solve for x
    x = 11,970,124,905,860,356/69,896,535
  6. Step 6: Final answer
    x = 171,254,911.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.