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Finding the Third Proportional to 2,811,798,178,657.80 and 4,301,736,389,055

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Solution

The third proportional to 2,811,798,178,657.80 and 4,301,736,389,055 is: 6,581,175,029,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811,798,178,657.80 : 4,301,736,389,055 = 4,301,736,389,055 : x
  2. Step 2: Convert to fraction form
    2,811,798,178,657.80/4,301,736,389,055 = 4,301,736,389,055/x
  3. Step 3: Cross multiply
    2,811,798,178,657.80x = 4,301,736,389,055 × 4,301,736,389,055
  4. Step 4: Simplify right side
    2,811,798,178,657.80x = 18,504,935,960,919,950,258,864,128
  5. Step 5: Solve for x
    x = 18,504,935,960,919,950,258,864,128/2,811,798,178,657.80
  6. Step 6: Final answer
    x = 6,581,175,029,337.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.