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Finding the Third Proportional to 6,404,055.75 and 9,905,342.63

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Solution

The third proportional to 6,404,055.75 and 9,905,342.63 is: 15,320,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404,055.75 : 9,905,342.63 = 9,905,342.63 : x
  2. Step 2: Convert to fraction form
    6,404,055.75/9,905,342.63 = 9,905,342.63/x
  3. Step 3: Cross multiply
    6,404,055.75x = 9,905,342.63 × 9,905,342.63
  4. Step 4: Simplify right side
    6,404,055.75x = 98,115,812,518,641.89
  5. Step 5: Solve for x
    x = 98,115,812,518,641.89/6,404,055.75
  6. Step 6: Final answer
    x = 15,320,886.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.