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Finding the Third Proportional to 1,201,990,051 and 2,610,895,863

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Solution

The third proportional to 1,201,990,051 and 2,610,895,863 is: 5,671,242,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,990,051 : 2,610,895,863 = 2,610,895,863 : x
  2. Step 2: Convert to fraction form
    1,201,990,051/2,610,895,863 = 2,610,895,863/x
  3. Step 3: Cross multiply
    1,201,990,051x = 2,610,895,863 × 2,610,895,863
  4. Step 4: Simplify right side
    1,201,990,051x = 6,816,777,207,430,514,688
  5. Step 5: Solve for x
    x = 6,816,777,207,430,514,688/1,201,990,051
  6. Step 6: Final answer
    x = 5,671,242,621.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.