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Finding the Third Proportional to 212,784,426 and 459,518,868

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Solution

The third proportional to 212,784,426 and 459,518,868 is: 992,354,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,784,426 : 459,518,868 = 459,518,868 : x
  2. Step 2: Convert to fraction form
    212,784,426/459,518,868 = 459,518,868/x
  3. Step 3: Cross multiply
    212,784,426x = 459,518,868 × 459,518,868
  4. Step 4: Simplify right side
    212,784,426x = 211,157,590,048,001,408
  5. Step 5: Solve for x
    x = 211,157,590,048,001,408/212,784,426
  6. Step 6: Final answer
    x = 992,354,534.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.