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Finding the Third Proportional to 2,742,955,641 and 6,009,945,732

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Solution

The third proportional to 2,742,955,641 and 6,009,945,732 is: 13,168,075,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742,955,641 : 6,009,945,732 = 6,009,945,732 : x
  2. Step 2: Convert to fraction form
    2,742,955,641/6,009,945,732 = 6,009,945,732/x
  3. Step 3: Cross multiply
    2,742,955,641x = 6,009,945,732 × 6,009,945,732
  4. Step 4: Simplify right side
    2,742,955,641x = 36,119,447,701,585,014,784
  5. Step 5: Solve for x
    x = 36,119,447,701,585,014,784/2,742,955,641
  6. Step 6: Final answer
    x = 13,168,075,765.31

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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.