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Finding the Third Proportional to 14,167,771,535 and 31,004,452,895

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Solution

The third proportional to 14,167,771,535 and 31,004,452,895 is: 67,849,491,851.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,167,771,535 : 31,004,452,895 = 31,004,452,895 : x
  2. Step 2: Convert to fraction form
    14,167,771,535/31,004,452,895 = 31,004,452,895/x
  3. Step 3: Cross multiply
    14,167,771,535x = 31,004,452,895 × 31,004,452,895
  4. Step 4: Simplify right side
    14,167,771,535x = 961,276,099,318,273,933,312
  5. Step 5: Solve for x
    x = 961,276,099,318,273,933,312/14,167,771,535
  6. Step 6: Final answer
    x = 67,849,491,851.53

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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.