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Finding the Third Proportional to 4,285,577.63 and 9,152,368.13

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Solution

The third proportional to 4,285,577.63 and 9,152,368.13 is: 19,545,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,285,577.63 : 9,152,368.13 = 9,152,368.13 : x
  2. Step 2: Convert to fraction form
    4,285,577.63/9,152,368.13 = 9,152,368.13/x
  3. Step 3: Cross multiply
    4,285,577.63x = 9,152,368.13 × 9,152,368.13
  4. Step 4: Simplify right side
    4,285,577.63x = 83,765,842,295,516.02
  5. Step 5: Solve for x
    x = 83,765,842,295,516.02/4,285,577.63
  6. Step 6: Final answer
    x = 19,545,986.47

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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.