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Finding the Third Proportional to 2,101,987,106 and 2,956,705,107

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Solution

The third proportional to 2,101,987,106 and 2,956,705,107 is: 4,158,971,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,987,106 : 2,956,705,107 = 2,956,705,107 : x
  2. Step 2: Convert to fraction form
    2,101,987,106/2,956,705,107 = 2,956,705,107/x
  3. Step 3: Cross multiply
    2,101,987,106x = 2,956,705,107 × 2,956,705,107
  4. Step 4: Simplify right side
    2,101,987,106x = 8,742,105,089,759,881,216
  5. Step 5: Solve for x
    x = 8,742,105,089,759,881,216/2,101,987,106
  6. Step 6: Final answer
    x = 4,158,971,796.17

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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.