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Finding the Third Proportional to 35,950,225.50 and 77,636,668.50

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Solution

The third proportional to 35,950,225.50 and 77,636,668.50 is: 167,661,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,950,225.50 : 77,636,668.50 = 77,636,668.50 : x
  2. Step 2: Convert to fraction form
    35,950,225.50/77,636,668.50 = 77,636,668.50/x
  3. Step 3: Cross multiply
    35,950,225.50x = 77,636,668.50 × 77,636,668.50
  4. Step 4: Simplify right side
    35,950,225.50x = 6,027,452,295,778,892
  5. Step 5: Solve for x
    x = 6,027,452,295,778,892/35,950,225.50
  6. Step 6: Final answer
    x = 167,661,042.79

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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.