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Finding the Third Proportional to 7,341,878 and 15,746,638

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Solution

The third proportional to 7,341,878 and 15,746,638 is: 33,772,913.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341,878 : 15,746,638 = 15,746,638 : x
  2. Step 2: Convert to fraction form
    7,341,878/15,746,638 = 15,746,638/x
  3. Step 3: Cross multiply
    7,341,878x = 15,746,638 × 15,746,638
  4. Step 4: Simplify right side
    7,341,878x = 247,956,608,303,044
  5. Step 5: Solve for x
    x = 247,956,608,303,044/7,341,878
  6. Step 6: Final answer
    x = 33,772,913.18

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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.