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Finding the Third Proportional to 2,742,955,629.75 and 6,009,945,710.63

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Solution

The third proportional to 2,742,955,629.75 and 6,009,945,710.63 is: 13,168,075,725.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742,955,629.75 : 6,009,945,710.63 = 6,009,945,710.63 : x
  2. Step 2: Convert to fraction form
    2,742,955,629.75/6,009,945,710.63 = 6,009,945,710.63/x
  3. Step 3: Cross multiply
    2,742,955,629.75x = 6,009,945,710.63 × 6,009,945,710.63
  4. Step 4: Simplify right side
    2,742,955,629.75x = 36,119,447,444,659,834,880
  5. Step 5: Solve for x
    x = 36,119,447,444,659,834,880/2,742,955,629.75
  6. Step 6: Final answer
    x = 13,168,075,725.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.