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Finding the Third Proportional to 838,523,184 and 1,816,792,101

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Solution

The third proportional to 838,523,184 and 1,816,792,101 is: 3,936,365,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,523,184 : 1,816,792,101 = 1,816,792,101 : x
  2. Step 2: Convert to fraction form
    838,523,184/1,816,792,101 = 1,816,792,101/x
  3. Step 3: Cross multiply
    838,523,184x = 1,816,792,101 × 1,816,792,101
  4. Step 4: Simplify right side
    838,523,184x = 3,300,733,538,255,994,368
  5. Step 5: Solve for x
    x = 3,300,733,538,255,994,368/838,523,184
  6. Step 6: Final answer
    x = 3,936,365,268.41

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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.