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Finding the Third Proportional to 4,038,007 and 8,643,514

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Solution

The third proportional to 4,038,007 and 8,643,514 is: 18,501,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038,007 : 8,643,514 = 8,643,514 : x
  2. Step 2: Convert to fraction form
    4,038,007/8,643,514 = 8,643,514/x
  3. Step 3: Cross multiply
    4,038,007x = 8,643,514 × 8,643,514
  4. Step 4: Simplify right side
    4,038,007x = 74,710,334,268,196
  5. Step 5: Solve for x
    x = 74,710,334,268,196/4,038,007
  6. Step 6: Final answer
    x = 18,501,784.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.