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Finding the Third Proportional to 282,114,663 and 435,749,352

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Solution

The third proportional to 282,114,663 and 435,749,352 is: 673,050,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,114,663 : 435,749,352 = 435,749,352 : x
  2. Step 2: Convert to fraction form
    282,114,663/435,749,352 = 435,749,352/x
  3. Step 3: Cross multiply
    282,114,663x = 435,749,352 × 435,749,352
  4. Step 4: Simplify right side
    282,114,663x = 189,877,497,768,419,904
  5. Step 5: Solve for x
    x = 189,877,497,768,419,904/282,114,663
  6. Step 6: Final answer
    x = 673,050,793.42

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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.