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Finding the Third Proportional to 383,772,012 and 546,952,914

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Solution

The third proportional to 383,772,012 and 546,952,914 is: 779,518,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,772,012 : 546,952,914 = 546,952,914 : x
  2. Step 2: Convert to fraction form
    383,772,012/546,952,914 = 546,952,914/x
  3. Step 3: Cross multiply
    383,772,012x = 546,952,914 × 546,952,914
  4. Step 4: Simplify right side
    383,772,012x = 299,157,490,133,091,392
  5. Step 5: Solve for x
    x = 299,157,490,133,091,392/383,772,012
  6. Step 6: Final answer
    x = 779,518,778.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.