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Finding the Third Proportional to 14,756,685,183 and 31,864,780,018.50

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Solution

The third proportional to 14,756,685,183 and 31,864,780,018.50 is: 68,807,065,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756,685,183 : 31,864,780,018.50 = 31,864,780,018.50 : x
  2. Step 2: Convert to fraction form
    14,756,685,183/31,864,780,018.50 = 31,864,780,018.50/x
  3. Step 3: Cross multiply
    14,756,685,183x = 31,864,780,018.50 × 31,864,780,018.50
  4. Step 4: Simplify right side
    14,756,685,183x = 1,015,364,205,627,396,849,664
  5. Step 5: Solve for x
    x = 1,015,364,205,627,396,849,664/14,756,685,183
  6. Step 6: Final answer
    x = 68,807,065,613.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.