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Finding the Third Proportional to 9,713,094 and 14,254,713

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Solution

The third proportional to 9,713,094 and 14,254,713 is: 20,919,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713,094 : 14,254,713 = 14,254,713 : x
  2. Step 2: Convert to fraction form
    9,713,094/14,254,713 = 14,254,713/x
  3. Step 3: Cross multiply
    9,713,094x = 14,254,713 × 14,254,713
  4. Step 4: Simplify right side
    9,713,094x = 203,196,842,712,369
  5. Step 5: Solve for x
    x = 203,196,842,712,369/9,713,094
  6. Step 6: Final answer
    x = 20,919,888.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.