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Finding the Third Proportional to 42,770,239,483.50 and 89,060,290,053

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Solution

The third proportional to 42,770,239,483.50 and 89,060,290,053 is: 185,449,867,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,770,239,483.50 : 89,060,290,053 = 89,060,290,053 : x
  2. Step 2: Convert to fraction form
    42,770,239,483.50/89,060,290,053 = 89,060,290,053/x
  3. Step 3: Cross multiply
    42,770,239,483.50x = 89,060,290,053 × 89,060,290,053
  4. Step 4: Simplify right side
    42,770,239,483.50x = 7,931,735,264,324,490,362,880
  5. Step 5: Solve for x
    x = 7,931,735,264,324,490,362,880/42,770,239,483.50
  6. Step 6: Final answer
    x = 185,449,867,948.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.