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Finding the Third Proportional to 30,390,023,352 and 66,962,800,680

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Solution

The third proportional to 30,390,023,352 and 66,962,800,680 is: 147,548,971,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,390,023,352 : 66,962,800,680 = 66,962,800,680 : x
  2. Step 2: Convert to fraction form
    30,390,023,352/66,962,800,680 = 66,962,800,680/x
  3. Step 3: Cross multiply
    30,390,023,352x = 66,962,800,680 × 66,962,800,680
  4. Step 4: Simplify right side
    30,390,023,352x = 4,484,016,674,909,408,722,944
  5. Step 5: Solve for x
    x = 4,484,016,674,909,408,722,944/30,390,023,352
  6. Step 6: Final answer
    x = 147,548,971,021.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.