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Finding the Third Proportional to 419,102,700.75 and 881,645,784.75

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Solution

The third proportional to 419,102,700.75 and 881,645,784.75 is: 1,854,674,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,102,700.75 : 881,645,784.75 = 881,645,784.75 : x
  2. Step 2: Convert to fraction form
    419,102,700.75/881,645,784.75 = 881,645,784.75/x
  3. Step 3: Cross multiply
    419,102,700.75x = 881,645,784.75 × 881,645,784.75
  4. Step 4: Simplify right side
    419,102,700.75x = 777,299,289,767,443,328
  5. Step 5: Solve for x
    x = 777,299,289,767,443,328/419,102,700.75
  6. Step 6: Final answer
    x = 1,854,674,971.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.