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Finding the Third Proportional to 9,973,619.86 and 21,838,949.16

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Solution

The third proportional to 9,973,619.86 and 21,838,949.16 is: 47,820,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973,619.86 : 21,838,949.16 = 21,838,949.16 : x
  2. Step 2: Convert to fraction form
    9,973,619.86/21,838,949.16 = 21,838,949.16/x
  3. Step 3: Cross multiply
    9,973,619.86x = 21,838,949.16 × 21,838,949.16
  4. Step 4: Simplify right side
    9,973,619.86x = 476,939,700,249,272.56
  5. Step 5: Solve for x
    x = 476,939,700,249,272.56/9,973,619.86
  6. Step 6: Final answer
    x = 47,820,120.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.