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Finding the Third Proportional to 341,198,854,537.50 and 750,636,286,582.50

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Solution

The third proportional to 341,198,854,537.50 and 750,636,286,582.50 is: 1,651,397,205,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,198,854,537.50 : 750,636,286,582.50 = 750,636,286,582.50 : x
  2. Step 2: Convert to fraction form
    341,198,854,537.50/750,636,286,582.50 = 750,636,286,582.50/x
  3. Step 3: Cross multiply
    341,198,854,537.50x = 750,636,286,582.50 × 750,636,286,582.50
  4. Step 4: Simplify right side
    341,198,854,537.50x = 563,454,834,734,365,052,764,160
  5. Step 5: Solve for x
    x = 563,454,834,734,365,052,764,160/341,198,854,537.50
  6. Step 6: Final answer
    x = 1,651,397,205,005.67

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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.