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Finding the Third Proportional to 466,352,959.50 and 997,276,000.50

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Solution

The third proportional to 466,352,959.50 and 997,276,000.50 is: 2,132,632,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,352,959.50 : 997,276,000.50 = 997,276,000.50 : x
  2. Step 2: Convert to fraction form
    466,352,959.50/997,276,000.50 = 997,276,000.50/x
  3. Step 3: Cross multiply
    466,352,959.50x = 997,276,000.50 × 997,276,000.50
  4. Step 4: Simplify right side
    466,352,959.50x = 994,559,421,173,276,032
  5. Step 5: Solve for x
    x = 994,559,421,173,276,032/466,352,959.50
  6. Step 6: Final answer
    x = 2,132,632,378.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.