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Finding the Third Proportional to 10,415,904 and 15,473,071.50

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Solution

The third proportional to 10,415,904 and 15,473,071.50 is: 22,985,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415,904 : 15,473,071.50 = 15,473,071.50 : x
  2. Step 2: Convert to fraction form
    10,415,904/15,473,071.50 = 15,473,071.50/x
  3. Step 3: Cross multiply
    10,415,904x = 15,473,071.50 × 15,473,071.50
  4. Step 4: Simplify right side
    10,415,904x = 239,415,941,644,112.25
  5. Step 5: Solve for x
    x = 239,415,941,644,112.25/10,415,904
  6. Step 6: Final answer
    x = 22,985,613.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.