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Finding the Third Proportional to 1,753,677,261 and 3,816,073,386

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Solution

The third proportional to 1,753,677,261 and 3,816,073,386 is: 8,303,931,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,677,261 : 3,816,073,386 = 3,816,073,386 : x
  2. Step 2: Convert to fraction form
    1,753,677,261/3,816,073,386 = 3,816,073,386/x
  3. Step 3: Cross multiply
    1,753,677,261x = 3,816,073,386 × 3,816,073,386
  4. Step 4: Simplify right side
    1,753,677,261x = 14,562,416,087,337,504,768
  5. Step 5: Solve for x
    x = 14,562,416,087,337,504,768/1,753,677,261
  6. Step 6: Final answer
    x = 8,303,931,636.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.