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Finding the Third Proportional to 2,514,718,069 and 5,290,036,871

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Solution

The third proportional to 2,514,718,069 and 5,290,036,871 is: 11,128,281,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514,718,069 : 5,290,036,871 = 5,290,036,871 : x
  2. Step 2: Convert to fraction form
    2,514,718,069/5,290,036,871 = 5,290,036,871/x
  3. Step 3: Cross multiply
    2,514,718,069x = 5,290,036,871 × 5,290,036,871
  4. Step 4: Simplify right side
    2,514,718,069x = 27,984,490,096,539,471,872
  5. Step 5: Solve for x
    x = 27,984,490,096,539,471,872/2,514,718,069
  6. Step 6: Final answer
    x = 11,128,281,313.73

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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.