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Finding the Third Proportional to 207,816,246 and 448,581,834

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Solution

The third proportional to 207,816,246 and 448,581,834 is: 968,286,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,816,246 : 448,581,834 = 448,581,834 : x
  2. Step 2: Convert to fraction form
    207,816,246/448,581,834 = 448,581,834/x
  3. Step 3: Cross multiply
    207,816,246x = 448,581,834 × 448,581,834
  4. Step 4: Simplify right side
    207,816,246x = 201,225,661,794,803,552
  5. Step 5: Solve for x
    x = 201,225,661,794,803,552/207,816,246
  6. Step 6: Final answer
    x = 968,286,482.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.