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Finding the Third Proportional to 315,695,968,256 and 736,649,381,840

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Solution

The third proportional to 315,695,968,256 and 736,649,381,840 is: 1,718,907,956,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,695,968,256 : 736,649,381,840 = 736,649,381,840 : x
  2. Step 2: Convert to fraction form
    315,695,968,256/736,649,381,840 = 736,649,381,840/x
  3. Step 3: Cross multiply
    315,695,968,256x = 736,649,381,840 × 736,649,381,840
  4. Step 4: Simplify right side
    315,695,968,256x = 542,652,311,765,254,144,000,000
  5. Step 5: Solve for x
    x = 542,652,311,765,254,144,000,000/315,695,968,256
  6. Step 6: Final answer
    x = 1,718,907,956,801.06

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.