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Finding the Third Proportional to 380,814,467 and 829,234,724

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Solution

The third proportional to 380,814,467 and 829,234,724 is: 1,805,683,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,814,467 : 829,234,724 = 829,234,724 : x
  2. Step 2: Convert to fraction form
    380,814,467/829,234,724 = 829,234,724/x
  3. Step 3: Cross multiply
    380,814,467x = 829,234,724 × 829,234,724
  4. Step 4: Simplify right side
    380,814,467x = 687,630,227,487,356,160
  5. Step 5: Solve for x
    x = 687,630,227,487,356,160/380,814,467
  6. Step 6: Final answer
    x = 1,805,683,047.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.