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Finding the Third Proportional to 7,341,871 and 15,746,623

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Solution

The third proportional to 7,341,871 and 15,746,623 is: 33,772,881.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341,871 : 15,746,623 = 15,746,623 : x
  2. Step 2: Convert to fraction form
    7,341,871/15,746,623 = 15,746,623/x
  3. Step 3: Cross multiply
    7,341,871x = 15,746,623 × 15,746,623
  4. Step 4: Simplify right side
    7,341,871x = 247,956,135,904,129
  5. Step 5: Solve for x
    x = 247,956,135,904,129/7,341,871
  6. Step 6: Final answer
    x = 33,772,881.04

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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.