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Finding the Third Proportional to 38,164,969,663 and 83,900,781,389

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Solution

The third proportional to 38,164,969,663 and 83,900,781,389 is: 184,445,086,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,164,969,663 : 83,900,781,389 = 83,900,781,389 : x
  2. Step 2: Convert to fraction form
    38,164,969,663/83,900,781,389 = 83,900,781,389/x
  3. Step 3: Cross multiply
    38,164,969,663x = 83,900,781,389 × 83,900,781,389
  4. Step 4: Simplify right side
    38,164,969,663x = 7,039,341,117,684,769,095,680
  5. Step 5: Solve for x
    x = 7,039,341,117,684,769,095,680/38,164,969,663
  6. Step 6: Final answer
    x = 184,445,086,157.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.