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Finding the Third Proportional to 5,840,390,781,266 and 8,585,633,535,222

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Solution

The third proportional to 5,840,390,781,266 and 8,585,633,535,222 is: 12,621,262,165,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840,390,781,266 : 8,585,633,535,222 = 8,585,633,535,222 : x
  2. Step 2: Convert to fraction form
    5,840,390,781,266/8,585,633,535,222 = 8,585,633,535,222/x
  3. Step 3: Cross multiply
    5,840,390,781,266x = 8,585,633,535,222 × 8,585,633,535,222
  4. Step 4: Simplify right side
    5,840,390,781,266x = 73,713,103,201,128,618,471,194,624
  5. Step 5: Solve for x
    x = 73,713,103,201,128,618,471,194,624/5,840,390,781,266
  6. Step 6: Final answer
    x = 12,621,262,165,808.38

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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.