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Finding the Third Proportional to 6,404,085 and 9,905,386.50

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Solution

The third proportional to 6,404,085 and 9,905,386.50 is: 15,320,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404,085 : 9,905,386.50 = 9,905,386.50 : x
  2. Step 2: Convert to fraction form
    6,404,085/9,905,386.50 = 9,905,386.50/x
  3. Step 3: Cross multiply
    6,404,085x = 9,905,386.50 × 9,905,386.50
  4. Step 4: Simplify right side
    6,404,085x = 98,116,681,714,382.25
  5. Step 5: Solve for x
    x = 98,116,681,714,382.25/6,404,085
  6. Step 6: Final answer
    x = 15,320,952.44

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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.