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Finding the Third Proportional to 70,494,408 and 107,767,584

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Solution

The third proportional to 70,494,408 and 107,767,584 is: 164,748,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,494,408 : 107,767,584 = 107,767,584 : x
  2. Step 2: Convert to fraction form
    70,494,408/107,767,584 = 107,767,584/x
  3. Step 3: Cross multiply
    70,494,408x = 107,767,584 × 107,767,584
  4. Step 4: Simplify right side
    70,494,408x = 11,613,852,161,197,056
  5. Step 5: Solve for x
    x = 11,613,852,161,197,056/70,494,408
  6. Step 6: Final answer
    x = 164,748,559.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.