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Finding the Third Proportional to 73,446,064 and 113,329,176

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Solution

The third proportional to 73,446,064 and 113,329,176 is: 174,869,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,446,064 : 113,329,176 = 113,329,176 : x
  2. Step 2: Convert to fraction form
    73,446,064/113,329,176 = 113,329,176/x
  3. Step 3: Cross multiply
    73,446,064x = 113,329,176 × 113,329,176
  4. Step 4: Simplify right side
    73,446,064x = 12,843,502,132,838,976
  5. Step 5: Solve for x
    x = 12,843,502,132,838,976/73,446,064
  6. Step 6: Final answer
    x = 174,869,849.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.