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Finding the Third Proportional to 1,510,492,216 and 2,332,818,016

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Solution

The third proportional to 1,510,492,216 and 2,332,818,016 is: 3,602,825,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,492,216 : 2,332,818,016 = 2,332,818,016 : x
  2. Step 2: Convert to fraction form
    1,510,492,216/2,332,818,016 = 2,332,818,016/x
  3. Step 3: Cross multiply
    1,510,492,216x = 2,332,818,016 × 2,332,818,016
  4. Step 4: Simplify right side
    1,510,492,216x = 5,442,039,895,774,176,256
  5. Step 5: Solve for x
    x = 5,442,039,895,774,176,256/1,510,492,216
  6. Step 6: Final answer
    x = 3,602,825,514.84

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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.