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Finding the Third Proportional to 1,026,216,096 and 2,240,606,046

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Solution

The third proportional to 1,026,216,096 and 2,240,606,046 is: 4,892,064,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,216,096 : 2,240,606,046 = 2,240,606,046 : x
  2. Step 2: Convert to fraction form
    1,026,216,096/2,240,606,046 = 2,240,606,046/x
  3. Step 3: Cross multiply
    1,026,216,096x = 2,240,606,046 × 2,240,606,046
  4. Step 4: Simplify right side
    1,026,216,096x = 5,020,315,453,371,754,496
  5. Step 5: Solve for x
    x = 5,020,315,453,371,754,496/1,026,216,096
  6. Step 6: Final answer
    x = 4,892,064,617.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.