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Finding the Third Proportional to 76,461,331,457 and 119,945,267,049

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Solution

The third proportional to 76,461,331,457 and 119,945,267,049 is: 188,158,730,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,461,331,457 : 119,945,267,049 = 119,945,267,049 : x
  2. Step 2: Convert to fraction form
    76,461,331,457/119,945,267,049 = 119,945,267,049/x
  3. Step 3: Cross multiply
    76,461,331,457x = 119,945,267,049 × 119,945,267,049
  4. Step 4: Simplify right side
    76,461,331,457x = 14,386,867,087,455,924,781,056
  5. Step 5: Solve for x
    x = 14,386,867,087,455,924,781,056/76,461,331,457
  6. Step 6: Final answer
    x = 188,158,730,868.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.