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Finding the Third Proportional to 44,150,638,502 and 66,209,742,201

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Solution

The third proportional to 44,150,638,502 and 66,209,742,201 is: 99,290,295,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,150,638,502 : 66,209,742,201 = 66,209,742,201 : x
  2. Step 2: Convert to fraction form
    44,150,638,502/66,209,742,201 = 66,209,742,201/x
  3. Step 3: Cross multiply
    44,150,638,502x = 66,209,742,201 × 66,209,742,201
  4. Step 4: Simplify right side
    44,150,638,502x = 4,383,729,962,322,880,364,544
  5. Step 5: Solve for x
    x = 4,383,729,962,322,880,364,544/44,150,638,502
  6. Step 6: Final answer
    x = 99,290,295,929.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.