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Finding the Third Proportional to 344,915,045,480 and 754,851,631,954

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Solution

The third proportional to 344,915,045,480 and 754,851,631,954 is: 1,652,003,859,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,915,045,480 : 754,851,631,954 = 754,851,631,954 : x
  2. Step 2: Convert to fraction form
    344,915,045,480/754,851,631,954 = 754,851,631,954/x
  3. Step 3: Cross multiply
    344,915,045,480x = 754,851,631,954 × 754,851,631,954
  4. Step 4: Simplify right side
    344,915,045,480x = 569,800,986,263,617,062,043,648
  5. Step 5: Solve for x
    x = 569,800,986,263,617,062,043,648/344,915,045,480
  6. Step 6: Final answer
    x = 1,652,003,859,300.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.