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Finding the Third Proportional to 8,560,970 and 17,830,532

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Solution

The third proportional to 8,560,970 and 17,830,532 is: 37,136,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,560,970 : 17,830,532 = 17,830,532 : x
  2. Step 2: Convert to fraction form
    8,560,970/17,830,532 = 17,830,532/x
  3. Step 3: Cross multiply
    8,560,970x = 17,830,532 × 17,830,532
  4. Step 4: Simplify right side
    8,560,970x = 317,927,871,403,024
  5. Step 5: Solve for x
    x = 317,927,871,403,024/8,560,970
  6. Step 6: Final answer
    x = 37,136,898.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.