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Finding the Third Proportional to 49,065,154,089 and 106,727,030,895

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Solution

The third proportional to 49,065,154,089 and 106,727,030,895 is: 232,153,742,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,065,154,089 : 106,727,030,895 = 106,727,030,895 : x
  2. Step 2: Convert to fraction form
    49,065,154,089/106,727,030,895 = 106,727,030,895/x
  3. Step 3: Cross multiply
    49,065,154,089x = 106,727,030,895 × 106,727,030,895
  4. Step 4: Simplify right side
    49,065,154,089x = 11,390,659,123,662,284,652,544
  5. Step 5: Solve for x
    x = 11,390,659,123,662,284,652,544/49,065,154,089
  6. Step 6: Final answer
    x = 232,153,742,001.92

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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.