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Finding the Third Proportional to 742,464,148.50 and 1,545,908,661

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Solution

The third proportional to 742,464,148.50 and 1,545,908,661 is: 3,218,786,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,464,148.50 : 1,545,908,661 = 1,545,908,661 : x
  2. Step 2: Convert to fraction form
    742,464,148.50/1,545,908,661 = 1,545,908,661/x
  3. Step 3: Cross multiply
    742,464,148.50x = 1,545,908,661 × 1,545,908,661
  4. Step 4: Simplify right side
    742,464,148.50x = 2,389,833,588,154,812,928
  5. Step 5: Solve for x
    x = 2,389,833,588,154,812,928/742,464,148.50
  6. Step 6: Final answer
    x = 3,218,786,513.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.