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Finding the Third Proportional to 6,590,445 and 13,501,971

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Solution

The third proportional to 6,590,445 and 13,501,971 is: 27,661,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590,445 : 13,501,971 = 13,501,971 : x
  2. Step 2: Convert to fraction form
    6,590,445/13,501,971 = 13,501,971/x
  3. Step 3: Cross multiply
    6,590,445x = 13,501,971 × 13,501,971
  4. Step 4: Simplify right side
    6,590,445x = 182,303,220,884,841
  5. Step 5: Solve for x
    x = 182,303,220,884,841/6,590,445
  6. Step 6: Final answer
    x = 27,661,746.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.