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Finding the Third Proportional to 13,799,920,986 and 22,531,642,704

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Solution

The third proportional to 13,799,920,986 and 22,531,642,704 is: 36,788,248,530.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,799,920,986 : 22,531,642,704 = 22,531,642,704 : x
  2. Step 2: Convert to fraction form
    13,799,920,986/22,531,642,704 = 22,531,642,704/x
  3. Step 3: Cross multiply
    13,799,920,986x = 22,531,642,704 × 22,531,642,704
  4. Step 4: Simplify right side
    13,799,920,986x = 507,674,922,940,716,417,024
  5. Step 5: Solve for x
    x = 507,674,922,940,716,417,024/13,799,920,986
  6. Step 6: Final answer
    x = 36,788,248,530.97

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.