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Finding the Third Proportional to 4,490,047.69 and 9,849,291.19

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Solution

The third proportional to 4,490,047.69 and 9,849,291.19 is: 21,605,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490,047.69 : 9,849,291.19 = 9,849,291.19 : x
  2. Step 2: Convert to fraction form
    4,490,047.69/9,849,291.19 = 9,849,291.19/x
  3. Step 3: Cross multiply
    4,490,047.69x = 9,849,291.19 × 9,849,291.19
  4. Step 4: Simplify right side
    4,490,047.69x = 97,008,536,896,165.16
  5. Step 5: Solve for x
    x = 97,008,536,896,165.16/4,490,047.69
  6. Step 6: Final answer
    x = 21,605,235.32

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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.