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Finding the Third Proportional to 402,619,028,245.50 and 625,142,796,660

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Solution

The third proportional to 402,619,028,245.50 and 625,142,796,660 is: 970,653,369,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,619,028,245.50 : 625,142,796,660 = 625,142,796,660 : x
  2. Step 2: Convert to fraction form
    402,619,028,245.50/625,142,796,660 = 625,142,796,660/x
  3. Step 3: Cross multiply
    402,619,028,245.50x = 625,142,796,660 × 625,142,796,660
  4. Step 4: Simplify right side
    402,619,028,245.50x = 390,803,516,215,886,086,144,000
  5. Step 5: Solve for x
    x = 390,803,516,215,886,086,144,000/402,619,028,245.50
  6. Step 6: Final answer
    x = 970,653,369,064.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.