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Finding the Third Proportional to 4,695,828,599 and 10,235,407,994

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Solution

The third proportional to 4,695,828,599 and 10,235,407,994 is: 22,309,923,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695,828,599 : 10,235,407,994 = 10,235,407,994 : x
  2. Step 2: Convert to fraction form
    4,695,828,599/10,235,407,994 = 10,235,407,994/x
  3. Step 3: Cross multiply
    4,695,828,599x = 10,235,407,994 × 10,235,407,994
  4. Step 4: Simplify right side
    4,695,828,599x = 104,763,576,803,639,099,392
  5. Step 5: Solve for x
    x = 104,763,576,803,639,099,392/4,695,828,599
  6. Step 6: Final answer
    x = 22,309,923,498.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.