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Finding the Third Proportional to 416,556,756 and 895,803,867.50

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Solution

The third proportional to 416,556,756 and 895,803,867.50 is: 1,926,423,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,556,756 : 895,803,867.50 = 895,803,867.50 : x
  2. Step 2: Convert to fraction form
    416,556,756/895,803,867.50 = 895,803,867.50/x
  3. Step 3: Cross multiply
    416,556,756x = 895,803,867.50 × 895,803,867.50
  4. Step 4: Simplify right side
    416,556,756x = 802,464,569,027,957,504
  5. Step 5: Solve for x
    x = 802,464,569,027,957,504/416,556,756
  6. Step 6: Final answer
    x = 1,926,423,128.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.