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Finding the Third Proportional to 1,179,547,974 and 1,831,473,096

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Solution

The third proportional to 1,179,547,974 and 1,831,473,096 is: 2,843,711,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,547,974 : 1,831,473,096 = 1,831,473,096 : x
  2. Step 2: Convert to fraction form
    1,179,547,974/1,831,473,096 = 1,831,473,096/x
  3. Step 3: Cross multiply
    1,179,547,974x = 1,831,473,096 × 1,831,473,096
  4. Step 4: Simplify right side
    1,179,547,974x = 3,354,293,701,371,825,152
  5. Step 5: Solve for x
    x = 3,354,293,701,371,825,152/1,179,547,974
  6. Step 6: Final answer
    x = 2,843,711,129.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.