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Finding the Third Proportional to 6,046,871,706 and 9,388,674,015

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Solution

The third proportional to 6,046,871,706 and 9,388,674,015 is: 14,577,322,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046,871,706 : 9,388,674,015 = 9,388,674,015 : x
  2. Step 2: Convert to fraction form
    6,046,871,706/9,388,674,015 = 9,388,674,015/x
  3. Step 3: Cross multiply
    6,046,871,706x = 9,388,674,015 × 9,388,674,015
  4. Step 4: Simplify right side
    6,046,871,706x = 88,147,199,759,936,225,280
  5. Step 5: Solve for x
    x = 88,147,199,759,936,225,280/6,046,871,706
  6. Step 6: Final answer
    x = 14,577,322,629.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.