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Finding the Third Proportional to 9,616,840 and 14,976,712

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Solution

The third proportional to 9,616,840 and 14,976,712 is: 23,323,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616,840 : 14,976,712 = 14,976,712 : x
  2. Step 2: Convert to fraction form
    9,616,840/14,976,712 = 14,976,712/x
  3. Step 3: Cross multiply
    9,616,840x = 14,976,712 × 14,976,712
  4. Step 4: Simplify right side
    9,616,840x = 224,301,902,330,944
  5. Step 5: Solve for x
    x = 224,301,902,330,944/9,616,840
  6. Step 6: Final answer
    x = 23,323,867.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.