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Finding the Third Proportional to 562,778,217 and 1,240,051,878

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Solution

The third proportional to 562,778,217 and 1,240,051,878 is: 2,732,388,379.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,778,217 : 1,240,051,878 = 1,240,051,878 : x
  2. Step 2: Convert to fraction form
    562,778,217/1,240,051,878 = 1,240,051,878/x
  3. Step 3: Cross multiply
    562,778,217x = 1,240,051,878 × 1,240,051,878
  4. Step 4: Simplify right side
    562,778,217x = 1,537,728,660,131,326,976
  5. Step 5: Solve for x
    x = 1,537,728,660,131,326,976/562,778,217
  6. Step 6: Final answer
    x = 2,732,388,379.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.