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Finding the Third Proportional to 5,840,390,780,859 and 8,585,633,534,592

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Solution

The third proportional to 5,840,390,780,859 and 8,585,633,534,592 is: 12,621,262,164,835.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840,390,780,859 : 8,585,633,534,592 = 8,585,633,534,592 : x
  2. Step 2: Convert to fraction form
    5,840,390,780,859/8,585,633,534,592 = 8,585,633,534,592/x
  3. Step 3: Cross multiply
    5,840,390,780,859x = 8,585,633,534,592 × 8,585,633,534,592
  4. Step 4: Simplify right side
    5,840,390,780,859x = 73,713,103,190,310,721,134,002,176
  5. Step 5: Solve for x
    x = 73,713,103,190,310,721,134,002,176/5,840,390,780,859
  6. Step 6: Final answer
    x = 12,621,262,164,835.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.