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Finding the Third Proportional to 2,514,718,093.50 and 5,290,036,920

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Solution

The third proportional to 2,514,718,093.50 and 5,290,036,920 is: 11,128,281,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514,718,093.50 : 5,290,036,920 = 5,290,036,920 : x
  2. Step 2: Convert to fraction form
    2,514,718,093.50/5,290,036,920 = 5,290,036,920/x
  3. Step 3: Cross multiply
    2,514,718,093.50x = 5,290,036,920 × 5,290,036,920
  4. Step 4: Simplify right side
    2,514,718,093.50x = 27,984,490,614,963,085,312
  5. Step 5: Solve for x
    x = 27,984,490,614,963,085,312/2,514,718,093.50
  6. Step 6: Final answer
    x = 11,128,281,411.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.