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Finding the Third Proportional to 787,941,607,350 and 1,597,808,615,784

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Solution

The third proportional to 787,941,607,350 and 1,597,808,615,784 is: 3,240,078,133,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,941,607,350 : 1,597,808,615,784 = 1,597,808,615,784 : x
  2. Step 2: Convert to fraction form
    787,941,607,350/1,597,808,615,784 = 1,597,808,615,784/x
  3. Step 3: Cross multiply
    787,941,607,350x = 1,597,808,615,784 × 1,597,808,615,784
  4. Step 4: Simplify right side
    787,941,607,350x = 2,552,992,372,673,581,886,210,048
  5. Step 5: Solve for x
    x = 2,552,992,372,673,581,886,210,048/787,941,607,350
  6. Step 6: Final answer
    x = 3,240,078,133,784.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.