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Finding the Third Proportional to 1,587,461,924 and 2,467,972,769

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Solution

The third proportional to 1,587,461,924 and 2,467,972,769 is: 3,836,872,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587,461,924 : 2,467,972,769 = 2,467,972,769 : x
  2. Step 2: Convert to fraction form
    1,587,461,924/2,467,972,769 = 2,467,972,769/x
  3. Step 3: Cross multiply
    1,587,461,924x = 2,467,972,769 × 2,467,972,769
  4. Step 4: Simplify right side
    1,587,461,924x = 6,090,889,588,525,527,040
  5. Step 5: Solve for x
    x = 6,090,889,588,525,527,040/1,587,461,924
  6. Step 6: Final answer
    x = 3,836,872,870.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.