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Finding the Third Proportional to 1,179,547,972 and 1,831,473,093

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Solution

The third proportional to 1,179,547,972 and 1,831,473,093 is: 2,843,711,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,547,972 : 1,831,473,093 = 1,831,473,093 : x
  2. Step 2: Convert to fraction form
    1,179,547,972/1,831,473,093 = 1,831,473,093/x
  3. Step 3: Cross multiply
    1,179,547,972x = 1,831,473,093 × 1,831,473,093
  4. Step 4: Simplify right side
    1,179,547,972x = 3,354,293,690,382,986,752
  5. Step 5: Solve for x
    x = 3,354,293,690,382,986,752/1,179,547,972
  6. Step 6: Final answer
    x = 2,843,711,124.95

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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.