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Finding the Third Proportional to 4,746,952 and 7,345,696

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Solution

The third proportional to 4,746,952 and 7,345,696 is: 11,367,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746,952 : 7,345,696 = 7,345,696 : x
  2. Step 2: Convert to fraction form
    4,746,952/7,345,696 = 7,345,696/x
  3. Step 3: Cross multiply
    4,746,952x = 7,345,696 × 7,345,696
  4. Step 4: Simplify right side
    4,746,952x = 53,959,249,724,416
  5. Step 5: Solve for x
    x = 53,959,249,724,416/4,746,952
  6. Step 6: Final answer
    x = 11,367,136.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.