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Finding the Third Proportional to 7,714,574,740 and 16,744,288,808

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Solution

The third proportional to 7,714,574,740 and 16,744,288,808 is: 36,343,054,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714,574,740 : 16,744,288,808 = 16,744,288,808 : x
  2. Step 2: Convert to fraction form
    7,714,574,740/16,744,288,808 = 16,744,288,808/x
  3. Step 3: Cross multiply
    7,714,574,740x = 16,744,288,808 × 16,744,288,808
  4. Step 4: Simplify right side
    7,714,574,740x = 280,371,207,685,714,051,072
  5. Step 5: Solve for x
    x = 280,371,207,685,714,051,072/7,714,574,740
  6. Step 6: Final answer
    x = 36,343,054,171.48

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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.