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Finding the Third Proportional to 21,577,509 and 46,215,724.50

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Solution

The third proportional to 21,577,509 and 46,215,724.50 is: 98,987,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577,509 : 46,215,724.50 = 46,215,724.50 : x
  2. Step 2: Convert to fraction form
    21,577,509/46,215,724.50 = 46,215,724.50/x
  3. Step 3: Cross multiply
    21,577,509x = 46,215,724.50 × 46,215,724.50
  4. Step 4: Simplify right side
    21,577,509x = 2,135,893,191,059,900.25
  5. Step 5: Solve for x
    x = 2,135,893,191,059,900.25/21,577,509
  6. Step 6: Final answer
    x = 98,987,014.26

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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.