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Finding the Third Proportional to 1,325,403,784 and 2,074,637,004

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Solution

The third proportional to 1,325,403,784 and 2,074,637,004 is: 3,247,401,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325,403,784 : 2,074,637,004 = 2,074,637,004 : x
  2. Step 2: Convert to fraction form
    1,325,403,784/2,074,637,004 = 2,074,637,004/x
  3. Step 3: Cross multiply
    1,325,403,784x = 2,074,637,004 × 2,074,637,004
  4. Step 4: Simplify right side
    1,325,403,784x = 4,304,118,698,366,095,872
  5. Step 5: Solve for x
    x = 4,304,118,698,366,095,872/1,325,403,784
  6. Step 6: Final answer
    x = 3,247,401,848.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.