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Finding the Third Proportional to 1,445,518,565 and 1,950,343,928

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Solution

The third proportional to 1,445,518,565 and 1,950,343,928 is: 2,631,471,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445,518,565 : 1,950,343,928 = 1,950,343,928 : x
  2. Step 2: Convert to fraction form
    1,445,518,565/1,950,343,928 = 1,950,343,928/x
  3. Step 3: Cross multiply
    1,445,518,565x = 1,950,343,928 × 1,950,343,928
  4. Step 4: Simplify right side
    1,445,518,565x = 3,803,841,437,486,469,120
  5. Step 5: Solve for x
    x = 3,803,841,437,486,469,120/1,445,518,565
  6. Step 6: Final answer
    x = 2,631,471,867.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.