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Finding the Third Proportional to 425,335,563 and 637,293,784.50

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Solution

The third proportional to 425,335,563 and 637,293,784.50 is: 954,877,520.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,335,563 : 637,293,784.50 = 637,293,784.50 : x
  2. Step 2: Convert to fraction form
    425,335,563/637,293,784.50 = 637,293,784.50/x
  3. Step 3: Cross multiply
    425,335,563x = 637,293,784.50 × 637,293,784.50
  4. Step 4: Simplify right side
    425,335,563x = 406,143,367,762,332,416
  5. Step 5: Solve for x
    x = 406,143,367,762,332,416/425,335,563
  6. Step 6: Final answer
    x = 954,877,520.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.