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Finding the Third Proportional to 4,633,398 and 7,009,987.50

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Solution

The third proportional to 4,633,398 and 7,009,987.50 is: 10,605,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633,398 : 7,009,987.50 = 7,009,987.50 : x
  2. Step 2: Convert to fraction form
    4,633,398/7,009,987.50 = 7,009,987.50/x
  3. Step 3: Cross multiply
    4,633,398x = 7,009,987.50 × 7,009,987.50
  4. Step 4: Simplify right side
    4,633,398x = 49,139,924,750,156.25
  5. Step 5: Solve for x
    x = 49,139,924,750,156.25/4,633,398
  6. Step 6: Final answer
    x = 10,605,591.13

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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.