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Finding the Third Proportional to 481,209,868.69 and 1,031,483,071.13

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Solution

The third proportional to 481,209,868.69 and 1,031,483,071.13 is: 2,211,004,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,209,868.69 : 1,031,483,071.13 = 1,031,483,071.13 : x
  2. Step 2: Convert to fraction form
    481,209,868.69/1,031,483,071.13 = 1,031,483,071.13/x
  3. Step 3: Cross multiply
    481,209,868.69x = 1,031,483,071.13 × 1,031,483,071.13
  4. Step 4: Simplify right side
    481,209,868.69x = 1,063,957,326,017,461,760
  5. Step 5: Solve for x
    x = 1,063,957,326,017,461,760/481,209,868.69
  6. Step 6: Final answer
    x = 2,211,004,792.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.