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Finding the Third Proportional to 6,554,773,494 and 9,583,308,009

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Solution

The third proportional to 6,554,773,494 and 9,583,308,009 is: 14,011,131,350.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554,773,494 : 9,583,308,009 = 9,583,308,009 : x
  2. Step 2: Convert to fraction form
    6,554,773,494/9,583,308,009 = 9,583,308,009/x
  3. Step 3: Cross multiply
    6,554,773,494x = 9,583,308,009 × 9,583,308,009
  4. Step 4: Simplify right side
    6,554,773,494x = 91,839,792,395,363,549,184
  5. Step 5: Solve for x
    x = 91,839,792,395,363,549,184/6,554,773,494
  6. Step 6: Final answer
    x = 14,011,131,350.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.