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Finding the Third Proportional to 368,434,880 and 794,262,472

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Solution

The third proportional to 368,434,880 and 794,262,472 is: 1,712,250,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,434,880 : 794,262,472 = 794,262,472 : x
  2. Step 2: Convert to fraction form
    368,434,880/794,262,472 = 794,262,472/x
  3. Step 3: Cross multiply
    368,434,880x = 794,262,472 × 794,262,472
  4. Step 4: Simplify right side
    368,434,880x = 630,852,874,427,550,720
  5. Step 5: Solve for x
    x = 630,852,874,427,550,720/368,434,880
  6. Step 6: Final answer
    x = 1,712,250,681.66

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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.