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Finding the Third Proportional to 480,264,318 and 1,047,246,576

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Solution

The third proportional to 480,264,318 and 1,047,246,576 is: 2,283,587,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,264,318 : 1,047,246,576 = 1,047,246,576 : x
  2. Step 2: Convert to fraction form
    480,264,318/1,047,246,576 = 1,047,246,576/x
  3. Step 3: Cross multiply
    480,264,318x = 1,047,246,576 × 1,047,246,576
  4. Step 4: Simplify right side
    480,264,318x = 1,096,725,390,943,723,776
  5. Step 5: Solve for x
    x = 1,096,725,390,943,723,776/480,264,318
  6. Step 6: Final answer
    x = 2,283,587,078.70

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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.