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Finding the Third Proportional to 12,886,477,139 and 27,742,409,216

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Solution

The third proportional to 12,886,477,139 and 27,742,409,216 is: 59,724,722,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886,477,139 : 27,742,409,216 = 27,742,409,216 : x
  2. Step 2: Convert to fraction form
    12,886,477,139/27,742,409,216 = 27,742,409,216/x
  3. Step 3: Cross multiply
    12,886,477,139x = 27,742,409,216 × 27,742,409,216
  4. Step 4: Simplify right side
    12,886,477,139x = 769,641,269,108,001,734,656
  5. Step 5: Solve for x
    x = 769,641,269,108,001,734,656/12,886,477,139
  6. Step 6: Final answer
    x = 59,724,722,343.14

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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.