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Finding the Third Proportional to 509,348,808 and 1,091,314,656

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Solution

The third proportional to 509,348,808 and 1,091,314,656 is: 2,338,216,286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,348,808 : 1,091,314,656 = 1,091,314,656 : x
  2. Step 2: Convert to fraction form
    509,348,808/1,091,314,656 = 1,091,314,656/x
  3. Step 3: Cross multiply
    509,348,808x = 1,091,314,656 × 1,091,314,656
  4. Step 4: Simplify right side
    509,348,808x = 1,190,967,678,400,398,336
  5. Step 5: Solve for x
    x = 1,190,967,678,400,398,336/509,348,808
  6. Step 6: Final answer
    x = 2,338,216,286.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.