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Finding the Third Proportional to 575,782,868 and 1,243,314,078

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Solution

The third proportional to 575,782,868 and 1,243,314,078 is: 2,684,744,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,782,868 : 1,243,314,078 = 1,243,314,078 : x
  2. Step 2: Convert to fraction form
    575,782,868/1,243,314,078 = 1,243,314,078/x
  3. Step 3: Cross multiply
    575,782,868x = 1,243,314,078 × 1,243,314,078
  4. Step 4: Simplify right side
    575,782,868x = 1,545,829,896,552,990,208
  5. Step 5: Solve for x
    x = 1,545,829,896,552,990,208/575,782,868
  6. Step 6: Final answer
    x = 2,684,744,514.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.