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Finding the Third Proportional to 989,219,926,840 and 2,142,700,984,304

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Solution

The third proportional to 989,219,926,840 and 2,142,700,984,304 is: 4,641,199,983,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    989,219,926,840 : 2,142,700,984,304 = 2,142,700,984,304 : x
  2. Step 2: Convert to fraction form
    989,219,926,840/2,142,700,984,304 = 2,142,700,984,304/x
  3. Step 3: Cross multiply
    989,219,926,840x = 2,142,700,984,304 × 2,142,700,984,304
  4. Step 4: Simplify right side
    989,219,926,840x = 4,591,167,508,137,330,446,696,448
  5. Step 5: Solve for x
    x = 4,591,167,508,137,330,446,696,448/989,219,926,840
  6. Step 6: Final answer
    x = 4,641,199,983,509.76

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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.