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Finding the Third Proportional to 10,258,618 and 22,295,168

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Solution

The third proportional to 10,258,618 and 22,295,168 is: 48,454,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258,618 : 22,295,168 = 22,295,168 : x
  2. Step 2: Convert to fraction form
    10,258,618/22,295,168 = 22,295,168/x
  3. Step 3: Cross multiply
    10,258,618x = 22,295,168 × 22,295,168
  4. Step 4: Simplify right side
    10,258,618x = 497,074,516,148,224
  5. Step 5: Solve for x
    x = 497,074,516,148,224/10,258,618
  6. Step 6: Final answer
    x = 48,454,335.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.