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Finding the Third Proportional to 483,311,131,794 and 758,172,539,808

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Solution

The third proportional to 483,311,131,794 and 758,172,539,808 is: 1,189,348,976,890.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,311,131,794 : 758,172,539,808 = 758,172,539,808 : x
  2. Step 2: Convert to fraction form
    483,311,131,794/758,172,539,808 = 758,172,539,808/x
  3. Step 3: Cross multiply
    483,311,131,794x = 758,172,539,808 × 758,172,539,808
  4. Step 4: Simplify right side
    483,311,131,794x = 574,825,600,118,913,329,266,688
  5. Step 5: Solve for x
    x = 574,825,600,118,913,329,266,688/483,311,131,794
  6. Step 6: Final answer
    x = 1,189,348,976,890.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.