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Finding the Third Proportional to 6,148,464 and 9,822,312

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Solution

The third proportional to 6,148,464 and 9,822,312 is: 15,691,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148,464 : 9,822,312 = 9,822,312 : x
  2. Step 2: Convert to fraction form
    6,148,464/9,822,312 = 9,822,312/x
  3. Step 3: Cross multiply
    6,148,464x = 9,822,312 × 9,822,312
  4. Step 4: Simplify right side
    6,148,464x = 96,477,813,025,344
  5. Step 5: Solve for x
    x = 96,477,813,025,344/6,148,464
  6. Step 6: Final answer
    x = 15,691,368.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.