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Finding the Third Proportional to 372,415,541 and 809,293,150

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Solution

The third proportional to 372,415,541 and 809,293,150 is: 1,758,668,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,415,541 : 809,293,150 = 809,293,150 : x
  2. Step 2: Convert to fraction form
    372,415,541/809,293,150 = 809,293,150/x
  3. Step 3: Cross multiply
    372,415,541x = 809,293,150 × 809,293,150
  4. Step 4: Simplify right side
    372,415,541x = 654,955,402,636,922,496
  5. Step 5: Solve for x
    x = 654,955,402,636,922,496/372,415,541
  6. Step 6: Final answer
    x = 1,758,668,289.94

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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.