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Finding the Third Proportional to 355,723,581.75 and 770,818,705.50

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Solution

The third proportional to 355,723,581.75 and 770,818,705.50 is: 1,670,289,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,723,581.75 : 770,818,705.50 = 770,818,705.50 : x
  2. Step 2: Convert to fraction form
    355,723,581.75/770,818,705.50 = 770,818,705.50/x
  3. Step 3: Cross multiply
    355,723,581.75x = 770,818,705.50 × 770,818,705.50
  4. Step 4: Simplify right side
    355,723,581.75x = 594,161,476,748,695,680
  5. Step 5: Solve for x
    x = 594,161,476,748,695,680/355,723,581.75
  6. Step 6: Final answer
    x = 1,670,289,818.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.