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Finding the Third Proportional to 69,896,541 and 109,408,076

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Solution

The third proportional to 69,896,541 and 109,408,076 is: 171,254,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,896,541 : 109,408,076 = 109,408,076 : x
  2. Step 2: Convert to fraction form
    69,896,541/109,408,076 = 109,408,076/x
  3. Step 3: Cross multiply
    69,896,541x = 109,408,076 × 109,408,076
  4. Step 4: Simplify right side
    69,896,541x = 11,970,127,094,021,776
  5. Step 5: Solve for x
    x = 11,970,127,094,021,776/69,896,541
  6. Step 6: Final answer
    x = 171,254,927.97

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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.