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Finding the Third Proportional to 7,549,868 and 16,301,080

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Solution

The third proportional to 7,549,868 and 16,301,080 is: 35,196,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549,868 : 16,301,080 = 16,301,080 : x
  2. Step 2: Convert to fraction form
    7,549,868/16,301,080 = 16,301,080/x
  3. Step 3: Cross multiply
    7,549,868x = 16,301,080 × 16,301,080
  4. Step 4: Simplify right side
    7,549,868x = 265,725,209,166,400
  5. Step 5: Solve for x
    x = 265,725,209,166,400/7,549,868
  6. Step 6: Final answer
    x = 35,196,007.29

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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.