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Finding the Third Proportional to 4,666,434 and 9,705,348

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Solution

The third proportional to 4,666,434 and 9,705,348 is: 20,185,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666,434 : 9,705,348 = 9,705,348 : x
  2. Step 2: Convert to fraction form
    4,666,434/9,705,348 = 9,705,348/x
  3. Step 3: Cross multiply
    4,666,434x = 9,705,348 × 9,705,348
  4. Step 4: Simplify right side
    4,666,434x = 94,193,779,801,104
  5. Step 5: Solve for x
    x = 94,193,779,801,104/4,666,434
  6. Step 6: Final answer
    x = 20,185,387.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.