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Finding the Third Proportional to 66,391,685,352 and 101,985,749,545.50

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Solution

The third proportional to 66,391,685,352 and 101,985,749,545.50 is: 156,662,585,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,391,685,352 : 101,985,749,545.50 = 101,985,749,545.50 : x
  2. Step 2: Convert to fraction form
    66,391,685,352/101,985,749,545.50 = 101,985,749,545.50/x
  3. Step 3: Cross multiply
    66,391,685,352x = 101,985,749,545.50 × 101,985,749,545.50
  4. Step 4: Simplify right side
    66,391,685,352x = 10,401,093,110,357,454,487,552
  5. Step 5: Solve for x
    x = 10,401,093,110,357,454,487,552/66,391,685,352
  6. Step 6: Final answer
    x = 156,662,585,912.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.