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Finding the Third Proportional to 4,976,020 and 7,509,680.50

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Solution

The third proportional to 4,976,020 and 7,509,680.50 is: 11,333,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976,020 : 7,509,680.50 = 7,509,680.50 : x
  2. Step 2: Convert to fraction form
    4,976,020/7,509,680.50 = 7,509,680.50/x
  3. Step 3: Cross multiply
    4,976,020x = 7,509,680.50 × 7,509,680.50
  4. Step 4: Simplify right side
    4,976,020x = 56,395,301,212,080.25
  5. Step 5: Solve for x
    x = 56,395,301,212,080.25/4,976,020
  6. Step 6: Final answer
    x = 11,333,415.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.