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Finding the Third Proportional to 1,758,877,303.50 and 3,866,347,095.75

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Solution

The third proportional to 1,758,877,303.50 and 3,866,347,095.75 is: 8,498,966,832.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758,877,303.50 : 3,866,347,095.75 = 3,866,347,095.75 : x
  2. Step 2: Convert to fraction form
    1,758,877,303.50/3,866,347,095.75 = 3,866,347,095.75/x
  3. Step 3: Cross multiply
    1,758,877,303.50x = 3,866,347,095.75 × 3,866,347,095.75
  4. Step 4: Simplify right side
    1,758,877,303.50x = 14,948,639,864,814,458,880
  5. Step 5: Solve for x
    x = 14,948,639,864,814,458,880/1,758,877,303.50
  6. Step 6: Final answer
    x = 8,498,966,832.46

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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.