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Finding the Third Proportional to 10,358,064 and 15,681,006

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Solution

The third proportional to 10,358,064 and 15,681,006 is: 23,739,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358,064 : 15,681,006 = 15,681,006 : x
  2. Step 2: Convert to fraction form
    10,358,064/15,681,006 = 15,681,006/x
  3. Step 3: Cross multiply
    10,358,064x = 15,681,006 × 15,681,006
  4. Step 4: Simplify right side
    10,358,064x = 245,893,949,172,036
  5. Step 5: Solve for x
    x = 245,893,949,172,036/10,358,064
  6. Step 6: Final answer
    x = 23,739,373.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.