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Finding the Third Proportional to 6,046,871,688 and 9,388,673,988

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Solution

The third proportional to 6,046,871,688 and 9,388,673,988 is: 14,577,322,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046,871,688 : 9,388,673,988 = 9,388,673,988 : x
  2. Step 2: Convert to fraction form
    6,046,871,688/9,388,673,988 = 9,388,673,988/x
  3. Step 3: Cross multiply
    6,046,871,688x = 9,388,673,988 × 9,388,673,988
  4. Step 4: Simplify right side
    6,046,871,688x = 88,147,199,252,947,828,736
  5. Step 5: Solve for x
    x = 88,147,199,252,947,828,736/6,046,871,688
  6. Step 6: Final answer
    x = 14,577,322,589.44

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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.