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Finding the Third Proportional to 55,774,948 and 120,811,864

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Solution

The third proportional to 55,774,948 and 120,811,864 is: 261,685,703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,774,948 : 120,811,864 = 120,811,864 : x
  2. Step 2: Convert to fraction form
    55,774,948/120,811,864 = 120,811,864/x
  3. Step 3: Cross multiply
    55,774,948x = 120,811,864 × 120,811,864
  4. Step 4: Simplify right side
    55,774,948x = 14,595,506,483,154,496
  5. Step 5: Solve for x
    x = 14,595,506,483,154,496/55,774,948
  6. Step 6: Final answer
    x = 261,685,703.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.