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Finding the Third Proportional to 48,035,072 and 70,782,080

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Solution

The third proportional to 48,035,072 and 70,782,080 is: 104,300,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,035,072 : 70,782,080 = 70,782,080 : x
  2. Step 2: Convert to fraction form
    48,035,072/70,782,080 = 70,782,080/x
  3. Step 3: Cross multiply
    48,035,072x = 70,782,080 × 70,782,080
  4. Step 4: Simplify right side
    48,035,072x = 5,010,102,849,126,400
  5. Step 5: Solve for x
    x = 5,010,102,849,126,400/48,035,072
  6. Step 6: Final answer
    x = 104,300,933.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.