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Finding the Third Proportional to 2,065,884,618 and 4,426,494,800

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Solution

The third proportional to 2,065,884,618 and 4,426,494,800 is: 9,484,487,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,884,618 : 4,426,494,800 = 4,426,494,800 : x
  2. Step 2: Convert to fraction form
    2,065,884,618/4,426,494,800 = 4,426,494,800/x
  3. Step 3: Cross multiply
    2,065,884,618x = 4,426,494,800 × 4,426,494,800
  4. Step 4: Simplify right side
    2,065,884,618x = 19,593,856,214,427,041,792
  5. Step 5: Solve for x
    x = 19,593,856,214,427,041,792/2,065,884,618
  6. Step 6: Final answer
    x = 9,484,487,199.19

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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.