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Finding the Third Proportional to 1,829,484,395 and 2,468,403,981

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Solution

The third proportional to 1,829,484,395 and 2,468,403,981 is: 3,330,456,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,484,395 : 2,468,403,981 = 2,468,403,981 : x
  2. Step 2: Convert to fraction form
    1,829,484,395/2,468,403,981 = 2,468,403,981/x
  3. Step 3: Cross multiply
    1,829,484,395x = 2,468,403,981 × 2,468,403,981
  4. Step 4: Simplify right side
    1,829,484,395x = 6,093,018,213,416,648,704
  5. Step 5: Solve for x
    x = 6,093,018,213,416,648,704/1,829,484,395
  6. Step 6: Final answer
    x = 3,330,456,510.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.