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Finding the Third Proportional to 636,496,744 and 1,370,932,208

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Solution

The third proportional to 636,496,744 and 1,370,932,208 is: 2,952,811,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,496,744 : 1,370,932,208 = 1,370,932,208 : x
  2. Step 2: Convert to fraction form
    636,496,744/1,370,932,208 = 1,370,932,208/x
  3. Step 3: Cross multiply
    636,496,744x = 1,370,932,208 × 1,370,932,208
  4. Step 4: Simplify right side
    636,496,744x = 1,879,455,118,931,755,264
  5. Step 5: Solve for x
    x = 1,879,455,118,931,755,264/636,496,744
  6. Step 6: Final answer
    x = 2,952,811,835.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.