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Finding the Third Proportional to 49,065,154,091 and 106,727,030,899

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Solution

The third proportional to 49,065,154,091 and 106,727,030,899 is: 232,153,742,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,065,154,091 : 106,727,030,899 = 106,727,030,899 : x
  2. Step 2: Convert to fraction form
    49,065,154,091/106,727,030,899 = 106,727,030,899/x
  3. Step 3: Cross multiply
    49,065,154,091x = 106,727,030,899 × 106,727,030,899
  4. Step 4: Simplify right side
    49,065,154,091x = 11,390,659,124,516,100,243,456
  5. Step 5: Solve for x
    x = 11,390,659,124,516,100,243,456/49,065,154,091
  6. Step 6: Final answer
    x = 232,153,742,009.86

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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.