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Finding the Third Proportional to 304,063,047.75 and 663,860,970.75

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Solution

The third proportional to 304,063,047.75 and 663,860,970.75 is: 1,449,407,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,063,047.75 : 663,860,970.75 = 663,860,970.75 : x
  2. Step 2: Convert to fraction form
    304,063,047.75/663,860,970.75 = 663,860,970.75/x
  3. Step 3: Cross multiply
    304,063,047.75x = 663,860,970.75 × 663,860,970.75
  4. Step 4: Simplify right side
    304,063,047.75x = 440,711,388,485,132,352
  5. Step 5: Solve for x
    x = 440,711,388,485,132,352/304,063,047.75
  6. Step 6: Final answer
    x = 1,449,407,916.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.