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Finding the Third Proportional to 445,671,533.25 and 977,436,416.25

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Solution

The third proportional to 445,671,533.25 and 977,436,416.25 is: 2,143,690,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,671,533.25 : 977,436,416.25 = 977,436,416.25 : x
  2. Step 2: Convert to fraction form
    445,671,533.25/977,436,416.25 = 977,436,416.25/x
  3. Step 3: Cross multiply
    445,671,533.25x = 977,436,416.25 × 977,436,416.25
  4. Step 4: Simplify right side
    445,671,533.25x = 955,381,947,811,643,264
  5. Step 5: Solve for x
    x = 955,381,947,811,643,264/445,671,533.25
  6. Step 6: Final answer
    x = 2,143,690,759.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.