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Finding the Third Proportional to 1,653,206,880 and 3,569,403,042

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Solution

The third proportional to 1,653,206,880 and 3,569,403,042 is: 7,706,620,526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653,206,880 : 3,569,403,042 = 3,569,403,042 : x
  2. Step 2: Convert to fraction form
    1,653,206,880/3,569,403,042 = 3,569,403,042/x
  3. Step 3: Cross multiply
    1,653,206,880x = 3,569,403,042 × 3,569,403,042
  4. Step 4: Simplify right side
    1,653,206,880x = 12,740,638,076,238,854,144
  5. Step 5: Solve for x
    x = 12,740,638,076,238,854,144/1,653,206,880
  6. Step 6: Final answer
    x = 7,706,620,526.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.