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Finding the Third Proportional to 17,142,349 and 36,609,547

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Solution

The third proportional to 17,142,349 and 36,609,547 is: 78,184,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,142,349 : 36,609,547 = 36,609,547 : x
  2. Step 2: Convert to fraction form
    17,142,349/36,609,547 = 36,609,547/x
  3. Step 3: Cross multiply
    17,142,349x = 36,609,547 × 36,609,547
  4. Step 4: Simplify right side
    17,142,349x = 1,340,258,931,545,209
  5. Step 5: Solve for x
    x = 1,340,258,931,545,209/17,142,349
  6. Step 6: Final answer
    x = 78,184,088.51

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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.