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Finding the Third Proportional to 370,860,250,972 and 803,331,709,903.50

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Solution

The third proportional to 370,860,250,972 and 803,331,709,903.50 is: 1,740,121,338,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,860,250,972 : 803,331,709,903.50 = 803,331,709,903.50 : x
  2. Step 2: Convert to fraction form
    370,860,250,972/803,331,709,903.50 = 803,331,709,903.50/x
  3. Step 3: Cross multiply
    370,860,250,972x = 803,331,709,903.50 × 803,331,709,903.50
  4. Step 4: Simplify right side
    370,860,250,972x = 645,341,836,136,481,015,463,936
  5. Step 5: Solve for x
    x = 645,341,836,136,481,015,463,936/370,860,250,972
  6. Step 6: Final answer
    x = 1,740,121,338,010.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.