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Finding the Third Proportional to 1,461,933,462.75 and 3,191,762,937

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Solution

The third proportional to 1,461,933,462.75 and 3,191,762,937 is: 6,968,409,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,933,462.75 : 3,191,762,937 = 3,191,762,937 : x
  2. Step 2: Convert to fraction form
    1,461,933,462.75/3,191,762,937 = 3,191,762,937/x
  3. Step 3: Cross multiply
    1,461,933,462.75x = 3,191,762,937 × 3,191,762,937
  4. Step 4: Simplify right side
    1,461,933,462.75x = 10,187,350,646,006,865,920
  5. Step 5: Solve for x
    x = 10,187,350,646,006,865,920/1,461,933,462.75
  6. Step 6: Final answer
    x = 6,968,409,237.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.