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Finding the Third Proportional to 4,639,169,920,216 and 9,410,620,022,612

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Solution

The third proportional to 4,639,169,920,216 and 9,410,620,022,612 is: 19,089,572,215,079.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639,169,920,216 : 9,410,620,022,612 = 9,410,620,022,612 : x
  2. Step 2: Convert to fraction form
    4,639,169,920,216/9,410,620,022,612 = 9,410,620,022,612/x
  3. Step 3: Cross multiply
    4,639,169,920,216x = 9,410,620,022,612 × 9,410,620,022,612
  4. Step 4: Simplify right side
    4,639,169,920,216x = 88,559,769,209,985,871,879,602,176
  5. Step 5: Solve for x
    x = 88,559,769,209,985,871,879,602,176/4,639,169,920,216
  6. Step 6: Final answer
    x = 19,089,572,215,079.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.