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Finding the Third Proportional to 4,002,744,438,336.80 and 5,636,746,211,840.50

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Solution

The third proportional to 4,002,744,438,336.80 and 5,636,746,211,840.50 is: 7,937,780,776,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002,744,438,336.80 : 5,636,746,211,840.50 = 5,636,746,211,840.50 : x
  2. Step 2: Convert to fraction form
    4,002,744,438,336.80/5,636,746,211,840.50 = 5,636,746,211,840.50/x
  3. Step 3: Cross multiply
    4,002,744,438,336.80x = 5,636,746,211,840.50 × 5,636,746,211,840.50
  4. Step 4: Simplify right side
    4,002,744,438,336.80x = 31,772,907,856,698,224,771,334,144
  5. Step 5: Solve for x
    x = 31,772,907,856,698,224,771,334,144/4,002,744,438,336.80
  6. Step 6: Final answer
    x = 7,937,780,776,706.38

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.