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Finding the Third Proportional to 7,762,261,042 and 16,884,550,478

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Solution

The third proportional to 7,762,261,042 and 16,884,550,478 is: 36,727,448,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762,261,042 : 16,884,550,478 = 16,884,550,478 : x
  2. Step 2: Convert to fraction form
    7,762,261,042/16,884,550,478 = 16,884,550,478/x
  3. Step 3: Cross multiply
    7,762,261,042x = 16,884,550,478 × 16,884,550,478
  4. Step 4: Simplify right side
    7,762,261,042x = 285,088,044,844,130,041,856
  5. Step 5: Solve for x
    x = 285,088,044,844,130,041,856/7,762,261,042
  6. Step 6: Final answer
    x = 36,727,448,780.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.