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Finding the Third Proportional to 6,404,090.06 and 9,837,384.19

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Solution

The third proportional to 6,404,090.06 and 9,837,384.19 is: 15,111,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404,090.06 : 9,837,384.19 = 9,837,384.19 : x
  2. Step 2: Convert to fraction form
    6,404,090.06/9,837,384.19 = 9,837,384.19/x
  3. Step 3: Cross multiply
    6,404,090.06x = 9,837,384.19 × 9,837,384.19
  4. Step 4: Simplify right side
    6,404,090.06x = 96,774,127,652,475.03
  5. Step 5: Solve for x
    x = 96,774,127,652,475.03/6,404,090.06
  6. Step 6: Final answer
    x = 15,111,300.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.