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Finding the Third Proportional to 83,974,529,981 and 185,065,743,609

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Solution

The third proportional to 83,974,529,981 and 185,065,743,609 is: 407,853,779,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,974,529,981 : 185,065,743,609 = 185,065,743,609 : x
  2. Step 2: Convert to fraction form
    83,974,529,981/185,065,743,609 = 185,065,743,609/x
  3. Step 3: Cross multiply
    83,974,529,981x = 185,065,743,609 × 185,065,743,609
  4. Step 4: Simplify right side
    83,974,529,981x = 34,249,329,457,552,125,067,264
  5. Step 5: Solve for x
    x = 34,249,329,457,552,125,067,264/83,974,529,981
  6. Step 6: Final answer
    x = 407,853,779,774.67

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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.