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Finding the Third Proportional to 481,316,042.11 and 1,054,903,527.84

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Solution

The third proportional to 481,316,042.11 and 1,054,903,527.84 is: 2,312,038,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,316,042.11 : 1,054,903,527.84 = 1,054,903,527.84 : x
  2. Step 2: Convert to fraction form
    481,316,042.11/1,054,903,527.84 = 1,054,903,527.84/x
  3. Step 3: Cross multiply
    481,316,042.11x = 1,054,903,527.84 × 1,054,903,527.84
  4. Step 4: Simplify right side
    481,316,042.11x = 1,112,821,453,057,294,848
  5. Step 5: Solve for x
    x = 1,112,821,453,057,294,848/481,316,042.11
  6. Step 6: Final answer
    x = 2,312,038,984.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.