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Finding the Third Proportional to 39,000,970 and 84,509,588

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Solution

The third proportional to 39,000,970 and 84,509,588 is: 183,120,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,000,970 : 84,509,588 = 84,509,588 : x
  2. Step 2: Convert to fraction form
    39,000,970/84,509,588 = 84,509,588/x
  3. Step 3: Cross multiply
    39,000,970x = 84,509,588 × 84,509,588
  4. Step 4: Simplify right side
    39,000,970x = 7,141,870,463,929,744
  5. Step 5: Solve for x
    x = 7,141,870,463,929,744/39,000,970
  6. Step 6: Final answer
    x = 183,120,329.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.