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Finding the Third Proportional to 450,027,307.69 and 676,239,166.69

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Solution

The third proportional to 450,027,307.69 and 676,239,166.69 is: 1,016,159,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,027,307.69 : 676,239,166.69 = 676,239,166.69 : x
  2. Step 2: Convert to fraction form
    450,027,307.69/676,239,166.69 = 676,239,166.69/x
  3. Step 3: Cross multiply
    450,027,307.69x = 676,239,166.69 × 676,239,166.69
  4. Step 4: Simplify right side
    450,027,307.69x = 457,299,410,562,204,416
  5. Step 5: Solve for x
    x = 457,299,410,562,204,416/450,027,307.69
  6. Step 6: Final answer
    x = 1,016,159,248.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.