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Finding the Third Proportional to 53,873,484,210 and 75,769,451,123.63

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Solution

The third proportional to 53,873,484,210 and 75,769,451,123.63 is: 106,564,663,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,873,484,210 : 75,769,451,123.63 = 75,769,451,123.63 : x
  2. Step 2: Convert to fraction form
    53,873,484,210/75,769,451,123.63 = 75,769,451,123.63/x
  3. Step 3: Cross multiply
    53,873,484,210x = 75,769,451,123.63 × 75,769,451,123.63
  4. Step 4: Simplify right side
    53,873,484,210x = 5,741,009,723,575,398,039,552
  5. Step 5: Solve for x
    x = 5,741,009,723,575,398,039,552/53,873,484,210
  6. Step 6: Final answer
    x = 106,564,663,632.98

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.