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Finding the Third Proportional to 1,945,830,752 and 3,015,501,928

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Solution

The third proportional to 1,945,830,752 and 3,015,501,928 is: 4,673,197,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945,830,752 : 3,015,501,928 = 3,015,501,928 : x
  2. Step 2: Convert to fraction form
    1,945,830,752/3,015,501,928 = 3,015,501,928/x
  3. Step 3: Cross multiply
    1,945,830,752x = 3,015,501,928 × 3,015,501,928
  4. Step 4: Simplify right side
    1,945,830,752x = 9,093,251,877,771,717,632
  5. Step 5: Solve for x
    x = 9,093,251,877,771,717,632/1,945,830,752
  6. Step 6: Final answer
    x = 4,673,197,742.62

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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.