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Finding the Third Proportional to 2,649,030.19 and 5,721,548.63

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Solution

The third proportional to 2,649,030.19 and 5,721,548.63 is: 12,357,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,030.19 : 5,721,548.63 = 5,721,548.63 : x
  2. Step 2: Convert to fraction form
    2,649,030.19/5,721,548.63 = 5,721,548.63/x
  3. Step 3: Cross multiply
    2,649,030.19x = 5,721,548.63 × 5,721,548.63
  4. Step 4: Simplify right side
    2,649,030.19x = 32,736,118,668,239.39
  5. Step 5: Solve for x
    x = 32,736,118,668,239.39/2,649,030.19
  6. Step 6: Final answer
    x = 12,357,774.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.