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Finding the Third Proportional to 702,813,838,266 and 989,716,755,969

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Solution

The third proportional to 702,813,838,266 and 989,716,755,969 is: 1,393,739,285,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,813,838,266 : 989,716,755,969 = 989,716,755,969 : x
  2. Step 2: Convert to fraction form
    702,813,838,266/989,716,755,969 = 989,716,755,969/x
  3. Step 3: Cross multiply
    702,813,838,266x = 989,716,755,969 × 989,716,755,969
  4. Step 4: Simplify right side
    702,813,838,266x = 979,539,257,045,801,116,893,184
  5. Step 5: Solve for x
    x = 979,539,257,045,801,116,893,184/702,813,838,266
  6. Step 6: Final answer
    x = 1,393,739,285,871.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.