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Finding the Third Proportional to 12,886,477,141 and 27,742,409,220

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Solution

The third proportional to 12,886,477,141 and 27,742,409,220 is: 59,724,722,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886,477,141 : 27,742,409,220 = 27,742,409,220 : x
  2. Step 2: Convert to fraction form
    12,886,477,141/27,742,409,220 = 27,742,409,220/x
  3. Step 3: Cross multiply
    12,886,477,141x = 27,742,409,220 × 27,742,409,220
  4. Step 4: Simplify right side
    12,886,477,141x = 769,641,269,329,940,971,520
  5. Step 5: Solve for x
    x = 769,641,269,329,940,971,520/12,886,477,141
  6. Step 6: Final answer
    x = 59,724,722,351.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.