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Finding the Third Proportional to 1,664,066,532,583 and 3,578,569,356,117.80

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Solution

The third proportional to 1,664,066,532,583 and 3,578,569,356,117.80 is: 7,695,701,094,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664,066,532,583 : 3,578,569,356,117.80 = 3,578,569,356,117.80 : x
  2. Step 2: Convert to fraction form
    1,664,066,532,583/3,578,569,356,117.80 = 3,578,569,356,117.80/x
  3. Step 3: Cross multiply
    1,664,066,532,583x = 3,578,569,356,117.80 × 3,578,569,356,117.80
  4. Step 4: Simplify right side
    1,664,066,532,583x = 12,806,158,636,545,363,595,493,376
  5. Step 5: Solve for x
    x = 12,806,158,636,545,363,595,493,376/1,664,066,532,583
  6. Step 6: Final answer
    x = 7,695,701,094,755.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.