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Finding the Third Proportional to 4,746,094 and 9,828,653

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Solution

The third proportional to 4,746,094 and 9,828,653 is: 20,354,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746,094 : 9,828,653 = 9,828,653 : x
  2. Step 2: Convert to fraction form
    4,746,094/9,828,653 = 9,828,653/x
  3. Step 3: Cross multiply
    4,746,094x = 9,828,653 × 9,828,653
  4. Step 4: Simplify right side
    4,746,094x = 96,602,419,794,409
  5. Step 5: Solve for x
    x = 96,602,419,794,409/4,746,094
  6. Step 6: Final answer
    x = 20,354,089.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.