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Finding the Third Proportional to 4,746,087 and 9,828,634.50

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Solution

The third proportional to 4,746,087 and 9,828,634.50 is: 20,354,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746,087 : 9,828,634.50 = 9,828,634.50 : x
  2. Step 2: Convert to fraction form
    4,746,087/9,828,634.50 = 9,828,634.50/x
  3. Step 3: Cross multiply
    4,746,087x = 9,828,634.50 × 9,828,634.50
  4. Step 4: Simplify right side
    4,746,087x = 96,602,056,134,590.25
  5. Step 5: Solve for x
    x = 96,602,056,134,590.25/4,746,087
  6. Step 6: Final answer
    x = 20,354,042.42

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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.