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Finding the Third Proportional to 440,652,069 and 666,645,490.50

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Solution

The third proportional to 440,652,069 and 666,645,490.50 is: 1,008,542,206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,652,069 : 666,645,490.50 = 666,645,490.50 : x
  2. Step 2: Convert to fraction form
    440,652,069/666,645,490.50 = 666,645,490.50/x
  3. Step 3: Cross multiply
    440,652,069x = 666,645,490.50 × 666,645,490.50
  4. Step 4: Simplify right side
    440,652,069x = 444,416,210,003,985,600
  5. Step 5: Solve for x
    x = 444,416,210,003,985,600/440,652,069
  6. Step 6: Final answer
    x = 1,008,542,206.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.