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Finding the Third Proportional to 6,852,708 and 15,237,242.25

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Solution

The third proportional to 6,852,708 and 15,237,242.25 is: 33,880,555.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852,708 : 15,237,242.25 = 15,237,242.25 : x
  2. Step 2: Convert to fraction form
    6,852,708/15,237,242.25 = 15,237,242.25/x
  3. Step 3: Cross multiply
    6,852,708x = 15,237,242.25 × 15,237,242.25
  4. Step 4: Simplify right side
    6,852,708x = 232,173,551,385,185.06
  5. Step 5: Solve for x
    x = 232,173,551,385,185.06/6,852,708
  6. Step 6: Final answer
    x = 33,880,555.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.