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Finding the Third Proportional to 4,121,319 and 8,852,046

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Solution

The third proportional to 4,121,319 and 8,852,046 is: 19,013,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121,319 : 8,852,046 = 8,852,046 : x
  2. Step 2: Convert to fraction form
    4,121,319/8,852,046 = 8,852,046/x
  3. Step 3: Cross multiply
    4,121,319x = 8,852,046 × 8,852,046
  4. Step 4: Simplify right side
    4,121,319x = 78,358,718,386,116
  5. Step 5: Solve for x
    x = 78,358,718,386,116/4,121,319
  6. Step 6: Final answer
    x = 19,013,019.47

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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.