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Finding the Third Proportional to 2,514,718,074 and 5,290,036,880

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Solution

The third proportional to 2,514,718,074 and 5,290,036,880 is: 11,128,281,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514,718,074 : 5,290,036,880 = 5,290,036,880 : x
  2. Step 2: Convert to fraction form
    2,514,718,074/5,290,036,880 = 5,290,036,880/x
  3. Step 3: Cross multiply
    2,514,718,074x = 5,290,036,880 × 5,290,036,880
  4. Step 4: Simplify right side
    2,514,718,074x = 27,984,490,191,760,134,144
  5. Step 5: Solve for x
    x = 27,984,490,191,760,134,144/2,514,718,074
  6. Step 6: Final answer
    x = 11,128,281,329.46

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