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Finding the Third Proportional to 612,857,668 and 975,649,110

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Solution

The third proportional to 612,857,668 and 975,649,110 is: 1,553,201,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,857,668 : 975,649,110 = 975,649,110 : x
  2. Step 2: Convert to fraction form
    612,857,668/975,649,110 = 975,649,110/x
  3. Step 3: Cross multiply
    612,857,668x = 975,649,110 × 975,649,110
  4. Step 4: Simplify right side
    612,857,668x = 951,891,185,843,792,128
  5. Step 5: Solve for x
    x = 951,891,185,843,792,128/612,857,668
  6. Step 6: Final answer
    x = 1,553,201,070.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.