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Finding the Third Proportional to 48,507,065,116 and 105,555,623,476

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Solution

The third proportional to 48,507,065,116 and 105,555,623,476 is: 229,698,284,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,507,065,116 : 105,555,623,476 = 105,555,623,476 : x
  2. Step 2: Convert to fraction form
    48,507,065,116/105,555,623,476 = 105,555,623,476/x
  3. Step 3: Cross multiply
    48,507,065,116x = 105,555,623,476 × 105,555,623,476
  4. Step 4: Simplify right side
    48,507,065,116x = 11,141,989,647,407,082,635,264
  5. Step 5: Solve for x
    x = 11,141,989,647,407,082,635,264/48,507,065,116
  6. Step 6: Final answer
    x = 229,698,284,585.19

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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.