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Finding the Third Proportional to 11,495,142 and 19,157,802.75

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Solution

The third proportional to 11,495,142 and 19,157,802.75 is: 31,928,392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,495,142 : 19,157,802.75 = 19,157,802.75 : x
  2. Step 2: Convert to fraction form
    11,495,142/19,157,802.75 = 19,157,802.75/x
  3. Step 3: Cross multiply
    11,495,142x = 19,157,802.75 × 19,157,802.75
  4. Step 4: Simplify right side
    11,495,142x = 367,021,406,207,907.56
  5. Step 5: Solve for x
    x = 367,021,406,207,907.56/11,495,142
  6. Step 6: Final answer
    x = 31,928,392.55

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.