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Finding the Third Proportional to 633,929,696 and 1,373,385,784

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Solution

The third proportional to 633,929,696 and 1,373,385,784 is: 2,975,390,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,929,696 : 1,373,385,784 = 1,373,385,784 : x
  2. Step 2: Convert to fraction form
    633,929,696/1,373,385,784 = 1,373,385,784/x
  3. Step 3: Cross multiply
    633,929,696x = 1,373,385,784 × 1,373,385,784
  4. Step 4: Simplify right side
    633,929,696x = 1,886,188,511,693,294,592
  5. Step 5: Solve for x
    x = 1,886,188,511,693,294,592/633,929,696
  6. Step 6: Final answer
    x = 2,975,390,683.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.