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Finding the Third Proportional to 284,438,550,246 and 410,964,585,953

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Solution

The third proportional to 284,438,550,246 and 410,964,585,953 is: 593,772,858,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,438,550,246 : 410,964,585,953 = 410,964,585,953 : x
  2. Step 2: Convert to fraction form
    284,438,550,246/410,964,585,953 = 410,964,585,953/x
  3. Step 3: Cross multiply
    284,438,550,246x = 410,964,585,953 × 410,964,585,953
  4. Step 4: Simplify right side
    284,438,550,246x = 168,891,890,907,520,715,194,368
  5. Step 5: Solve for x
    x = 168,891,890,907,520,715,194,368/284,438,550,246
  6. Step 6: Final answer
    x = 593,772,858,009.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.