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Finding the Third Proportional to 7,762,261,197 and 16,884,550,650

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Solution

The third proportional to 7,762,261,197 and 16,884,550,650 is: 36,727,448,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762,261,197 : 16,884,550,650 = 16,884,550,650 : x
  2. Step 2: Convert to fraction form
    7,762,261,197/16,884,550,650 = 16,884,550,650/x
  3. Step 3: Cross multiply
    7,762,261,197x = 16,884,550,650 × 16,884,550,650
  4. Step 4: Simplify right side
    7,762,261,197x = 285,088,050,652,415,426,560
  5. Step 5: Solve for x
    x = 285,088,050,652,415,426,560/7,762,261,197
  6. Step 6: Final answer
    x = 36,727,448,795.80

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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.