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Finding the Third Proportional to 420,563,184 and 920,408,976

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Solution

The third proportional to 420,563,184 and 920,408,976 is: 2,014,329,155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,563,184 : 920,408,976 = 920,408,976 : x
  2. Step 2: Convert to fraction form
    420,563,184/920,408,976 = 920,408,976/x
  3. Step 3: Cross multiply
    420,563,184x = 920,408,976 × 920,408,976
  4. Step 4: Simplify right side
    420,563,184x = 847,152,683,101,368,576
  5. Step 5: Solve for x
    x = 847,152,683,101,368,576/420,563,184
  6. Step 6: Final answer
    x = 2,014,329,155.12

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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.