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Finding the Third Proportional to 21,095,053 and 31,698,743

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Solution

The third proportional to 21,095,053 and 31,698,743 is: 47,632,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,095,053 : 31,698,743 = 31,698,743 : x
  2. Step 2: Convert to fraction form
    21,095,053/31,698,743 = 31,698,743/x
  3. Step 3: Cross multiply
    21,095,053x = 31,698,743 × 31,698,743
  4. Step 4: Simplify right side
    21,095,053x = 1,004,810,307,780,049
  5. Step 5: Solve for x
    x = 1,004,810,307,780,049/21,095,053
  6. Step 6: Final answer
    x = 47,632,509.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.