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Finding the Third Proportional to 4,877,706,120.75 and 7,761,389,328

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Solution

The third proportional to 4,877,706,120.75 and 7,761,389,328 is: 12,349,896,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877,706,120.75 : 7,761,389,328 = 7,761,389,328 : x
  2. Step 2: Convert to fraction form
    4,877,706,120.75/7,761,389,328 = 7,761,389,328/x
  3. Step 3: Cross multiply
    4,877,706,120.75x = 7,761,389,328 × 7,761,389,328
  4. Step 4: Simplify right side
    4,877,706,120.75x = 60,239,164,300,792,291,328
  5. Step 5: Solve for x
    x = 60,239,164,300,792,291,328/4,877,706,120.75
  6. Step 6: Final answer
    x = 12,349,896,203.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.