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Finding the Third Proportional to 42,449,243,624 and 90,861,596,656

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Solution

The third proportional to 42,449,243,624 and 90,861,596,656 is: 194,487,087,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,449,243,624 : 90,861,596,656 = 90,861,596,656 : x
  2. Step 2: Convert to fraction form
    42,449,243,624/90,861,596,656 = 90,861,596,656/x
  3. Step 3: Cross multiply
    42,449,243,624x = 90,861,596,656 × 90,861,596,656
  4. Step 4: Simplify right side
    42,449,243,624x = 8,255,829,746,877,630,251,008
  5. Step 5: Solve for x
    x = 8,255,829,746,877,630,251,008/42,449,243,624
  6. Step 6: Final answer
    x = 194,487,087,214.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.