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Finding the Third Proportional to 19,645,827 and 41,327,685

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Solution

The third proportional to 19,645,827 and 41,327,685 is: 86,938,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645,827 : 41,327,685 = 41,327,685 : x
  2. Step 2: Convert to fraction form
    19,645,827/41,327,685 = 41,327,685/x
  3. Step 3: Cross multiply
    19,645,827x = 41,327,685 × 41,327,685
  4. Step 4: Simplify right side
    19,645,827x = 1,707,977,547,459,225
  5. Step 5: Solve for x
    x = 1,707,977,547,459,225/19,645,827
  6. Step 6: Final answer
    x = 86,938,439.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.