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Finding the Third Proportional to 13,799,920,780 and 22,531,642,386

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Solution

The third proportional to 13,799,920,780 and 22,531,642,386 is: 36,788,248,041.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,799,920,780 : 22,531,642,386 = 22,531,642,386 : x
  2. Step 2: Convert to fraction form
    13,799,920,780/22,531,642,386 = 22,531,642,386/x
  3. Step 3: Cross multiply
    13,799,920,780x = 22,531,642,386 × 22,531,642,386
  4. Step 4: Simplify right side
    13,799,920,780x = 507,674,908,610,591,784,960
  5. Step 5: Solve for x
    x = 507,674,908,610,591,784,960/13,799,920,780
  6. Step 6: Final answer
    x = 36,788,248,041.71

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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.