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Finding the Third Proportional to 471,172,459.50 and 1,035,812,106

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Solution

The third proportional to 471,172,459.50 and 1,035,812,106 is: 2,277,099,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,172,459.50 : 1,035,812,106 = 1,035,812,106 : x
  2. Step 2: Convert to fraction form
    471,172,459.50/1,035,812,106 = 1,035,812,106/x
  3. Step 3: Cross multiply
    471,172,459.50x = 1,035,812,106 × 1,035,812,106
  4. Step 4: Simplify right side
    471,172,459.50x = 1,072,906,718,936,155,264
  5. Step 5: Solve for x
    x = 1,072,906,718,936,155,264/471,172,459.50
  6. Step 6: Final answer
    x = 2,277,099,811.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.