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Finding the Third Proportional to 7,720,107 and 16,500,382

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Solution

The third proportional to 7,720,107 and 16,500,382 is: 35,266,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720,107 : 16,500,382 = 16,500,382 : x
  2. Step 2: Convert to fraction form
    7,720,107/16,500,382 = 16,500,382/x
  3. Step 3: Cross multiply
    7,720,107x = 16,500,382 × 16,500,382
  4. Step 4: Simplify right side
    7,720,107x = 272,262,606,145,924
  5. Step 5: Solve for x
    x = 272,262,606,145,924/7,720,107
  6. Step 6: Final answer
    x = 35,266,688.16

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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.