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Finding the Third Proportional to 307,389,548 and 663,858,724

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Solution

The third proportional to 307,389,548 and 663,858,724 is: 1,433,713,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,389,548 : 663,858,724 = 663,858,724 : x
  2. Step 2: Convert to fraction form
    307,389,548/663,858,724 = 663,858,724/x
  3. Step 3: Cross multiply
    307,389,548x = 663,858,724 × 663,858,724
  4. Step 4: Simplify right side
    307,389,548x = 440,708,405,430,908,160
  5. Step 5: Solve for x
    x = 440,708,405,430,908,160/307,389,548
  6. Step 6: Final answer
    x = 1,433,713,046.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.