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Finding the Third Proportional to 758,657,856,546 and 1,638,232,618,017.30

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Solution

The third proportional to 758,657,856,546 and 1,638,232,618,017.30 is: 3,537,571,103,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,657,856,546 : 1,638,232,618,017.30 = 1,638,232,618,017.30 : x
  2. Step 2: Convert to fraction form
    758,657,856,546/1,638,232,618,017.30 = 1,638,232,618,017.30/x
  3. Step 3: Cross multiply
    758,657,856,546x = 1,638,232,618,017.30 × 1,638,232,618,017.30
  4. Step 4: Simplify right side
    758,657,856,546x = 2,683,806,110,735,816,867,184,640
  5. Step 5: Solve for x
    x = 2,683,806,110,735,816,867,184,640/758,657,856,546
  6. Step 6: Final answer
    x = 3,537,571,103,467.63

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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.