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Finding the Third Proportional to 748,602,445.50 and 1,669,332,483

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Solution

The third proportional to 748,602,445.50 and 1,669,332,483 is: 3,722,497,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,602,445.50 : 1,669,332,483 = 1,669,332,483 : x
  2. Step 2: Convert to fraction form
    748,602,445.50/1,669,332,483 = 1,669,332,483/x
  3. Step 3: Cross multiply
    748,602,445.50x = 1,669,332,483 × 1,669,332,483
  4. Step 4: Simplify right side
    748,602,445.50x = 2,786,670,938,798,945,280
  5. Step 5: Solve for x
    x = 2,786,670,938,798,945,280/748,602,445.50
  6. Step 6: Final answer
    x = 3,722,497,776.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.