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Finding the Third Proportional to 29,958,794.16 and 64,545,561.28

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Solution

The third proportional to 29,958,794.16 and 64,545,561.28 is: 139,061,988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,958,794.16 : 64,545,561.28 = 64,545,561.28 : x
  2. Step 2: Convert to fraction form
    29,958,794.16/64,545,561.28 = 64,545,561.28/x
  3. Step 3: Cross multiply
    29,958,794.16x = 64,545,561.28 × 64,545,561.28
  4. Step 4: Simplify right side
    29,958,794.16x = 4,166,129,481,111,599
  5. Step 5: Solve for x
    x = 4,166,129,481,111,599/29,958,794.16
  6. Step 6: Final answer
    x = 139,061,988.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.