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Finding the Third Proportional to 989,219,926,842 and 2,142,700,984,308

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Solution

The third proportional to 989,219,926,842 and 2,142,700,984,308 is: 4,641,199,983,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,219,926,842 : 2,142,700,984,308 = 2,142,700,984,308 : x
  2. Step 2: Convert to fraction form
    989,219,926,842/2,142,700,984,308 = 2,142,700,984,308/x
  3. Step 3: Cross multiply
    989,219,926,842x = 2,142,700,984,308 × 2,142,700,984,308
  4. Step 4: Simplify right side
    989,219,926,842x = 4,591,167,508,154,472,198,045,696
  5. Step 5: Solve for x
    x = 4,591,167,508,154,472,198,045,696/989,219,926,842
  6. Step 6: Final answer
    x = 4,641,199,983,517.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.