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Finding the Third Proportional to 14,626,607 and 31,500,910

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Solution

The third proportional to 14,626,607 and 31,500,910 is: 67,842,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,626,607 : 31,500,910 = 31,500,910 : x
  2. Step 2: Convert to fraction form
    14,626,607/31,500,910 = 31,500,910/x
  3. Step 3: Cross multiply
    14,626,607x = 31,500,910 × 31,500,910
  4. Step 4: Simplify right side
    14,626,607x = 992,307,330,828,100
  5. Step 5: Solve for x
    x = 992,307,330,828,100/14,626,607
  6. Step 6: Final answer
    x = 67,842,619.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.