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Finding the Third Proportional to 33,698,916 and 72,767,585.25

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Solution

The third proportional to 33,698,916 and 72,767,585.25 is: 157,130,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,698,916 : 72,767,585.25 = 72,767,585.25 : x
  2. Step 2: Convert to fraction form
    33,698,916/72,767,585.25 = 72,767,585.25/x
  3. Step 3: Cross multiply
    33,698,916x = 72,767,585.25 × 72,767,585.25
  4. Step 4: Simplify right side
    33,698,916x = 5,295,121,463,116,018
  5. Step 5: Solve for x
    x = 5,295,121,463,116,018/33,698,916
  6. Step 6: Final answer
    x = 157,130,320.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.