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Finding the Third Proportional to 9,148,944 and 13,457,304

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Solution

The third proportional to 9,148,944 and 13,457,304 is: 19,794,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148,944 : 13,457,304 = 13,457,304 : x
  2. Step 2: Convert to fraction form
    9,148,944/13,457,304 = 13,457,304/x
  3. Step 3: Cross multiply
    9,148,944x = 13,457,304 × 13,457,304
  4. Step 4: Simplify right side
    9,148,944x = 181,099,030,948,416
  5. Step 5: Solve for x
    x = 181,099,030,948,416/9,148,944
  6. Step 6: Final answer
    x = 19,794,528.30

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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.