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Finding the Third Proportional to 34,913,311,070 and 76,586,019,004

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Solution

The third proportional to 34,913,311,070 and 76,586,019,004 is: 167,999,485,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,913,311,070 : 76,586,019,004 = 76,586,019,004 : x
  2. Step 2: Convert to fraction form
    34,913,311,070/76,586,019,004 = 76,586,019,004/x
  3. Step 3: Cross multiply
    34,913,311,070x = 76,586,019,004 × 76,586,019,004
  4. Step 4: Simplify right side
    34,913,311,070x = 5,865,418,306,881,049,329,664
  5. Step 5: Solve for x
    x = 5,865,418,306,881,049,329,664/34,913,311,070
  6. Step 6: Final answer
    x = 167,999,485,786.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.