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Finding the Third Proportional to 7,762,261,046 and 16,884,550,486

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Solution

The third proportional to 7,762,261,046 and 16,884,550,486 is: 36,727,448,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762,261,046 : 16,884,550,486 = 16,884,550,486 : x
  2. Step 2: Convert to fraction form
    7,762,261,046/16,884,550,486 = 16,884,550,486/x
  3. Step 3: Cross multiply
    7,762,261,046x = 16,884,550,486 × 16,884,550,486
  4. Step 4: Simplify right side
    7,762,261,046x = 285,088,045,114,282,835,968
  5. Step 5: Solve for x
    x = 285,088,045,114,282,835,968/7,762,261,046
  6. Step 6: Final answer
    x = 36,727,448,796.79

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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.