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Finding the Third Proportional to 6,580,658 and 9,953,947

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Solution

The third proportional to 6,580,658 and 9,953,947 is: 15,056,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580,658 : 9,953,947 = 9,953,947 : x
  2. Step 2: Convert to fraction form
    6,580,658/9,953,947 = 9,953,947/x
  3. Step 3: Cross multiply
    6,580,658x = 9,953,947 × 9,953,947
  4. Step 4: Simplify right side
    6,580,658x = 99,081,060,878,809
  5. Step 5: Solve for x
    x = 99,081,060,878,809/6,580,658
  6. Step 6: Final answer
    x = 15,056,406.35

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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.