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Finding the Third Proportional to 702,939,480 and 1,511,668,934.25

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Solution

The third proportional to 702,939,480 and 1,511,668,934.25 is: 3,250,838,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,939,480 : 1,511,668,934.25 = 1,511,668,934.25 : x
  2. Step 2: Convert to fraction form
    702,939,480/1,511,668,934.25 = 1,511,668,934.25/x
  3. Step 3: Cross multiply
    702,939,480x = 1,511,668,934.25 × 1,511,668,934.25
  4. Step 4: Simplify right side
    702,939,480x = 2,285,142,966,776,530,944
  5. Step 5: Solve for x
    x = 2,285,142,966,776,530,944/702,939,480
  6. Step 6: Final answer
    x = 3,250,838,844.30

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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.