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Finding the Third Proportional to 383,772,016.50 and 546,952,920

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Solution

The third proportional to 383,772,016.50 and 546,952,920 is: 779,518,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,772,016.50 : 546,952,920 = 546,952,920 : x
  2. Step 2: Convert to fraction form
    383,772,016.50/546,952,920 = 546,952,920/x
  3. Step 3: Cross multiply
    383,772,016.50x = 546,952,920 × 546,952,920
  4. Step 4: Simplify right side
    383,772,016.50x = 299,157,496,696,526,400
  5. Step 5: Solve for x
    x = 299,157,496,696,526,400/383,772,016.50
  6. Step 6: Final answer
    x = 779,518,786.77

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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.