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Finding the Third Proportional to 6,262,538.63 and 9,696,830.63

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Solution

The third proportional to 6,262,538.63 and 9,696,830.63 is: 15,014,442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262,538.63 : 9,696,830.63 = 9,696,830.63 : x
  2. Step 2: Convert to fraction form
    6,262,538.63/9,696,830.63 = 9,696,830.63/x
  3. Step 3: Cross multiply
    6,262,538.63x = 9,696,830.63 × 9,696,830.63
  4. Step 4: Simplify right side
    6,262,538.63x = 94,028,524,169,937.89
  5. Step 5: Solve for x
    x = 94,028,524,169,937.89/6,262,538.63
  6. Step 6: Final answer
    x = 15,014,442.19

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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.