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Finding the Third Proportional to 291,095,708 and 631,306,648

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Solution

The third proportional to 291,095,708 and 631,306,648 is: 1,369,130,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,095,708 : 631,306,648 = 631,306,648 : x
  2. Step 2: Convert to fraction form
    291,095,708/631,306,648 = 631,306,648/x
  3. Step 3: Cross multiply
    291,095,708x = 631,306,648 × 631,306,648
  4. Step 4: Simplify right side
    291,095,708x = 398,548,083,808,995,904
  5. Step 5: Solve for x
    x = 398,548,083,808,995,904/291,095,708
  6. Step 6: Final answer
    x = 1,369,130,745.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.