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Finding the Third Proportional to 1,096,245,664 and 1,614,088,752

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Solution

The third proportional to 1,096,245,664 and 1,614,088,752 is: 2,376,549,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,245,664 : 1,614,088,752 = 1,614,088,752 : x
  2. Step 2: Convert to fraction form
    1,096,245,664/1,614,088,752 = 1,614,088,752/x
  3. Step 3: Cross multiply
    1,096,245,664x = 1,614,088,752 × 1,614,088,752
  4. Step 4: Simplify right side
    1,096,245,664x = 2,605,282,499,332,917,248
  5. Step 5: Solve for x
    x = 2,605,282,499,332,917,248/1,096,245,664
  6. Step 6: Final answer
    x = 2,376,549,878.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.