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Finding the Third Proportional to 450,030,294 and 676,243,647

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Solution

The third proportional to 450,030,294 and 676,243,647 is: 1,016,165,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,030,294 : 676,243,647 = 676,243,647 : x
  2. Step 2: Convert to fraction form
    450,030,294/676,243,647 = 676,243,647/x
  3. Step 3: Cross multiply
    450,030,294x = 676,243,647 × 676,243,647
  4. Step 4: Simplify right side
    450,030,294x = 457,305,470,107,860,608
  5. Step 5: Solve for x
    x = 457,305,470,107,860,608/450,030,294
  6. Step 6: Final answer
    x = 1,016,165,969.72

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Why These Related Problems?

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