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Finding the Third Proportional to 12,121,116 and 26,165,010

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Solution

The third proportional to 12,121,116 and 26,165,010 is: 56,480,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121,116 : 26,165,010 = 26,165,010 : x
  2. Step 2: Convert to fraction form
    12,121,116/26,165,010 = 26,165,010/x
  3. Step 3: Cross multiply
    12,121,116x = 26,165,010 × 26,165,010
  4. Step 4: Simplify right side
    12,121,116x = 684,607,748,300,100
  5. Step 5: Solve for x
    x = 684,607,748,300,100/12,121,116
  6. Step 6: Final answer
    x = 56,480,587.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.