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Finding the Third Proportional to 6,686,052,830 and 14,573,461,775

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Solution

The third proportional to 6,686,052,830 and 14,573,461,775 is: 31,765,496,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686,052,830 : 14,573,461,775 = 14,573,461,775 : x
  2. Step 2: Convert to fraction form
    6,686,052,830/14,573,461,775 = 14,573,461,775/x
  3. Step 3: Cross multiply
    6,686,052,830x = 14,573,461,775 × 14,573,461,775
  4. Step 4: Simplify right side
    6,686,052,830x = 212,385,788,107,386,159,104
  5. Step 5: Solve for x
    x = 212,385,788,107,386,159,104/6,686,052,830
  6. Step 6: Final answer
    x = 31,765,496,550.43

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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.