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Finding the Third Proportional to 358,704,096 and 772,422,368

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Solution

The third proportional to 358,704,096 and 772,422,368 is: 1,663,310,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,704,096 : 772,422,368 = 772,422,368 : x
  2. Step 2: Convert to fraction form
    358,704,096/772,422,368 = 772,422,368/x
  3. Step 3: Cross multiply
    358,704,096x = 772,422,368 × 772,422,368
  4. Step 4: Simplify right side
    358,704,096x = 596,636,314,586,727,424
  5. Step 5: Solve for x
    x = 596,636,314,586,727,424/358,704,096
  6. Step 6: Final answer
    x = 1,663,310,570.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.