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Finding the Third Proportional to 10,281,990,648 and 22,389,337,654.50

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Solution

The third proportional to 10,281,990,648 and 22,389,337,654.50 is: 48,753,442,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281,990,648 : 22,389,337,654.50 = 22,389,337,654.50 : x
  2. Step 2: Convert to fraction form
    10,281,990,648/22,389,337,654.50 = 22,389,337,654.50/x
  3. Step 3: Cross multiply
    10,281,990,648x = 22,389,337,654.50 × 22,389,337,654.50
  4. Step 4: Simplify right side
    10,281,990,648x = 501,282,440,607,211,585,536
  5. Step 5: Solve for x
    x = 501,282,440,607,211,585,536/10,281,990,648
  6. Step 6: Final answer
    x = 48,753,442,574.34

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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.