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Finding the Third Proportional to 282,114,738 and 435,749,469

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Solution

The third proportional to 282,114,738 and 435,749,469 is: 673,050,975.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,114,738 : 435,749,469 = 435,749,469 : x
  2. Step 2: Convert to fraction form
    282,114,738/435,749,469 = 435,749,469/x
  3. Step 3: Cross multiply
    282,114,738x = 435,749,469 × 435,749,469
  4. Step 4: Simplify right side
    282,114,738x = 189,877,599,733,781,952
  5. Step 5: Solve for x
    x = 189,877,599,733,781,952/282,114,738
  6. Step 6: Final answer
    x = 673,050,975.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.