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Finding the Third Proportional to 457,830,548 and 991,663,720

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Solution

The third proportional to 457,830,548 and 991,663,720 is: 2,147,949,580.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,830,548 : 991,663,720 = 991,663,720 : x
  2. Step 2: Convert to fraction form
    457,830,548/991,663,720 = 991,663,720/x
  3. Step 3: Cross multiply
    457,830,548x = 991,663,720 × 991,663,720
  4. Step 4: Simplify right side
    457,830,548x = 983,396,933,564,238,336
  5. Step 5: Solve for x
    x = 983,396,933,564,238,336/457,830,548
  6. Step 6: Final answer
    x = 2,147,949,580.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.