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Finding the Third Proportional to 3,130,960,176 and 6,710,107,608

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Solution

The third proportional to 3,130,960,176 and 6,710,107,608 is: 14,380,746,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130,960,176 : 6,710,107,608 = 6,710,107,608 : x
  2. Step 2: Convert to fraction form
    3,130,960,176/6,710,107,608 = 6,710,107,608/x
  3. Step 3: Cross multiply
    3,130,960,176x = 6,710,107,608 × 6,710,107,608
  4. Step 4: Simplify right side
    3,130,960,176x = 45,025,544,110,939,480,064
  5. Step 5: Solve for x
    x = 45,025,544,110,939,480,064/3,130,960,176
  6. Step 6: Final answer
    x = 14,380,746,346.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.