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Finding the Third Proportional to 31,296,028 and 46,038,786

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Solution

The third proportional to 31,296,028 and 46,038,786 is: 67,726,480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296,028 : 46,038,786 = 46,038,786 : x
  2. Step 2: Convert to fraction form
    31,296,028/46,038,786 = 46,038,786/x
  3. Step 3: Cross multiply
    31,296,028x = 46,038,786 × 46,038,786
  4. Step 4: Simplify right side
    31,296,028x = 2,119,569,816,353,796
  5. Step 5: Solve for x
    x = 2,119,569,816,353,796/31,296,028
  6. Step 6: Final answer
    x = 67,726,480.06

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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.