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Finding the Third Proportional to 1,510,492,218 and 2,332,818,018

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Solution

The third proportional to 1,510,492,218 and 2,332,818,018 is: 3,602,825,516.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,492,218 : 2,332,818,018 = 2,332,818,018 : x
  2. Step 2: Convert to fraction form
    1,510,492,218/2,332,818,018 = 2,332,818,018/x
  3. Step 3: Cross multiply
    1,510,492,218x = 2,332,818,018 × 2,332,818,018
  4. Step 4: Simplify right side
    1,510,492,218x = 5,442,039,905,105,447,936
  5. Step 5: Solve for x
    x = 5,442,039,905,105,447,936/1,510,492,218
  6. Step 6: Final answer
    x = 3,602,825,516.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.