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Finding the Third Proportional to 9,790,594 and 21,323,133

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Solution

The third proportional to 9,790,594 and 21,323,133 is: 46,440,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,594 : 21,323,133 = 21,323,133 : x
  2. Step 2: Convert to fraction form
    9,790,594/21,323,133 = 21,323,133/x
  3. Step 3: Cross multiply
    9,790,594x = 21,323,133 × 21,323,133
  4. Step 4: Simplify right side
    9,790,594x = 454,676,000,935,689
  5. Step 5: Solve for x
    x = 454,676,000,935,689/9,790,594
  6. Step 6: Final answer
    x = 46,440,083.30

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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.