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Finding the Third Proportional to 6,772,715,570 and 14,583,335,332

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Solution

The third proportional to 6,772,715,570 and 14,583,335,332 is: 31,401,535,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772,715,570 : 14,583,335,332 = 14,583,335,332 : x
  2. Step 2: Convert to fraction form
    6,772,715,570/14,583,335,332 = 14,583,335,332/x
  3. Step 3: Cross multiply
    6,772,715,570x = 14,583,335,332 × 14,583,335,332
  4. Step 4: Simplify right side
    6,772,715,570x = 212,673,669,405,559,554,048
  5. Step 5: Solve for x
    x = 212,673,669,405,559,554,048/6,772,715,570
  6. Step 6: Final answer
    x = 31,401,535,648.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.