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Finding the Third Proportional to 3,506,181,335,649 and 7,540,030,905,826.80

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Solution

The third proportional to 3,506,181,335,649 and 7,540,030,905,826.80 is: 16,214,810,535,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506,181,335,649 : 7,540,030,905,826.80 = 7,540,030,905,826.80 : x
  2. Step 2: Convert to fraction form
    3,506,181,335,649/7,540,030,905,826.80 = 7,540,030,905,826.80/x
  3. Step 3: Cross multiply
    3,506,181,335,649x = 7,540,030,905,826.80 × 7,540,030,905,826.80
  4. Step 4: Simplify right side
    3,506,181,335,649x = 56,852,066,060,823,311,226,503,168
  5. Step 5: Solve for x
    x = 56,852,066,060,823,311,226,503,168/3,506,181,335,649
  6. Step 6: Final answer
    x = 16,214,810,535,548.04

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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.