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Finding the Third Proportional to 384,241,515.75 and 842,530,477.50

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Solution

The third proportional to 384,241,515.75 and 842,530,477.50 is: 1,847,425,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,241,515.75 : 842,530,477.50 = 842,530,477.50 : x
  2. Step 2: Convert to fraction form
    384,241,515.75/842,530,477.50 = 842,530,477.50/x
  3. Step 3: Cross multiply
    384,241,515.75x = 842,530,477.50 × 842,530,477.50
  4. Step 4: Simplify right side
    384,241,515.75x = 709,857,605,516,377,984
  5. Step 5: Solve for x
    x = 709,857,605,516,377,984/384,241,515.75
  6. Step 6: Final answer
    x = 1,847,425,581.10

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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.