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Finding the Third Proportional to 9,830,565 and 21,386,673

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Solution

The third proportional to 9,830,565 and 21,386,673 is: 46,527,313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830,565 : 21,386,673 = 21,386,673 : x
  2. Step 2: Convert to fraction form
    9,830,565/21,386,673 = 21,386,673/x
  3. Step 3: Cross multiply
    9,830,565x = 21,386,673 × 21,386,673
  4. Step 4: Simplify right side
    9,830,565x = 457,389,782,008,929
  5. Step 5: Solve for x
    x = 457,389,782,008,929/9,830,565
  6. Step 6: Final answer
    x = 46,527,313.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.