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Finding the Third Proportional to 2,072,529,918 and 2,963,742,156

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Solution

The third proportional to 2,072,529,918 and 2,963,742,156 is: 4,238,186,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,529,918 : 2,963,742,156 = 2,963,742,156 : x
  2. Step 2: Convert to fraction form
    2,072,529,918/2,963,742,156 = 2,963,742,156/x
  3. Step 3: Cross multiply
    2,072,529,918x = 2,963,742,156 × 2,963,742,156
  4. Step 4: Simplify right side
    2,072,529,918x = 8,783,767,567,251,528,704
  5. Step 5: Solve for x
    x = 8,783,767,567,251,528,704/2,072,529,918
  6. Step 6: Final answer
    x = 4,238,186,137.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.