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Finding the Third Proportional to 1,236,559,413 and 2,666,823,594

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Solution

The third proportional to 1,236,559,413 and 2,666,823,594 is: 5,751,400,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236,559,413 : 2,666,823,594 = 2,666,823,594 : x
  2. Step 2: Convert to fraction form
    1,236,559,413/2,666,823,594 = 2,666,823,594/x
  3. Step 3: Cross multiply
    1,236,559,413x = 2,666,823,594 × 2,666,823,594
  4. Step 4: Simplify right side
    1,236,559,413x = 7,111,948,081,515,076,608
  5. Step 5: Solve for x
    x = 7,111,948,081,515,076,608/1,236,559,413
  6. Step 6: Final answer
    x = 5,751,400,221.25

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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.