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Finding the Third Proportional to 4,319,784.42 and 9,254,389.22

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Solution

The third proportional to 4,319,784.42 and 9,254,389.22 is: 19,825,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319,784.42 : 9,254,389.22 = 9,254,389.22 : x
  2. Step 2: Convert to fraction form
    4,319,784.42/9,254,389.22 = 9,254,389.22/x
  3. Step 3: Cross multiply
    4,319,784.42x = 9,254,389.22 × 9,254,389.22
  4. Step 4: Simplify right side
    4,319,784.42x = 85,643,719,812,116.23
  5. Step 5: Solve for x
    x = 85,643,719,812,116.23/4,319,784.42
  6. Step 6: Final answer
    x = 19,825,924.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.