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Finding the Third Proportional to 7,714,574,712 and 16,744,288,752

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Solution

The third proportional to 7,714,574,712 and 16,744,288,752 is: 36,343,054,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714,574,712 : 16,744,288,752 = 16,744,288,752 : x
  2. Step 2: Convert to fraction form
    7,714,574,712/16,744,288,752 = 16,744,288,752/x
  3. Step 3: Cross multiply
    7,714,574,712x = 16,744,288,752 × 16,744,288,752
  4. Step 4: Simplify right side
    7,714,574,712x = 280,371,205,810,353,733,632
  5. Step 5: Solve for x
    x = 280,371,205,810,353,733,632/7,714,574,712
  6. Step 6: Final answer
    x = 36,343,054,060.29

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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.