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Finding the Third Proportional to 336,938,697 and 735,885,830.25

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Solution

The third proportional to 336,938,697 and 735,885,830.25 is: 1,607,200,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,938,697 : 735,885,830.25 = 735,885,830.25 : x
  2. Step 2: Convert to fraction form
    336,938,697/735,885,830.25 = 735,885,830.25/x
  3. Step 3: Cross multiply
    336,938,697x = 735,885,830.25 × 735,885,830.25
  4. Step 4: Simplify right side
    336,938,697x = 541,527,955,162,731,840
  5. Step 5: Solve for x
    x = 541,527,955,162,731,840/336,938,697
  6. Step 6: Final answer
    x = 1,607,200,241.42

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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.