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Finding the Third Proportional to 4,464,312 and 9,670,368

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Solution

The third proportional to 4,464,312 and 9,670,368 is: 20,947,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464,312 : 9,670,368 = 9,670,368 : x
  2. Step 2: Convert to fraction form
    4,464,312/9,670,368 = 9,670,368/x
  3. Step 3: Cross multiply
    4,464,312x = 9,670,368 × 9,670,368
  4. Step 4: Simplify right side
    4,464,312x = 93,516,017,255,424
  5. Step 5: Solve for x
    x = 93,516,017,255,424/4,464,312
  6. Step 6: Final answer
    x = 20,947,464.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.