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Finding the Third Proportional to 510,025,878 and 1,081,342,696.50

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Solution

The third proportional to 510,025,878 and 1,081,342,696.50 is: 2,292,632,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,025,878 : 1,081,342,696.50 = 1,081,342,696.50 : x
  2. Step 2: Convert to fraction form
    510,025,878/1,081,342,696.50 = 1,081,342,696.50/x
  3. Step 3: Cross multiply
    510,025,878x = 1,081,342,696.50 × 1,081,342,696.50
  4. Step 4: Simplify right side
    510,025,878x = 1,169,302,027,273,891,072
  5. Step 5: Solve for x
    x = 1,169,302,027,273,891,072/510,025,878
  6. Step 6: Final answer
    x = 2,292,632,742.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.