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Finding the Third Proportional to 1,109,949,108,519 and 1,766,147,230,048.50

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Solution

The third proportional to 1,109,949,108,519 and 1,766,147,230,048.50 is: 2,810,287,439,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,949,108,519 : 1,766,147,230,048.50 = 1,766,147,230,048.50 : x
  2. Step 2: Convert to fraction form
    1,109,949,108,519/1,766,147,230,048.50 = 1,766,147,230,048.50/x
  3. Step 3: Cross multiply
    1,109,949,108,519x = 1,766,147,230,048.50 × 1,766,147,230,048.50
  4. Step 4: Simplify right side
    1,109,949,108,519x = 3,119,276,038,207,988,947,746,816
  5. Step 5: Solve for x
    x = 3,119,276,038,207,988,947,746,816/1,109,949,108,519
  6. Step 6: Final answer
    x = 2,810,287,439,547.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.