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Finding the Third Proportional to 909,876,498 and 1,964,736,084

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Solution

The third proportional to 909,876,498 and 1,964,736,084 is: 4,242,540,485.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,876,498 : 1,964,736,084 = 1,964,736,084 : x
  2. Step 2: Convert to fraction form
    909,876,498/1,964,736,084 = 1,964,736,084/x
  3. Step 3: Cross multiply
    909,876,498x = 1,964,736,084 × 1,964,736,084
  4. Step 4: Simplify right side
    909,876,498x = 3,860,187,879,771,655,168
  5. Step 5: Solve for x
    x = 3,860,187,879,771,655,168/909,876,498
  6. Step 6: Final answer
    x = 4,242,540,485.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.