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Finding the Third Proportional to 372,550,824 and 783,709,164

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Solution

The third proportional to 372,550,824 and 783,709,164 is: 1,648,634,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,550,824 : 783,709,164 = 783,709,164 : x
  2. Step 2: Convert to fraction form
    372,550,824/783,709,164 = 783,709,164/x
  3. Step 3: Cross multiply
    372,550,824x = 783,709,164 × 783,709,164
  4. Step 4: Simplify right side
    372,550,824x = 614,200,053,737,578,880
  5. Step 5: Solve for x
    x = 614,200,053,737,578,880/372,550,824
  6. Step 6: Final answer
    x = 1,648,634,264.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.