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Finding the Third Proportional to 710,294,315,858 and 1,026,252,626,595

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Solution

The third proportional to 710,294,315,858 and 1,026,252,626,595 is: 1,482,757,823,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,294,315,858 : 1,026,252,626,595 = 1,026,252,626,595 : x
  2. Step 2: Convert to fraction form
    710,294,315,858/1,026,252,626,595 = 1,026,252,626,595/x
  3. Step 3: Cross multiply
    710,294,315,858x = 1,026,252,626,595 × 1,026,252,626,595
  4. Step 4: Simplify right side
    710,294,315,858x = 1,053,194,453,593,136,507,650,048
  5. Step 5: Solve for x
    x = 1,053,194,453,593,136,507,650,048/710,294,315,858
  6. Step 6: Final answer
    x = 1,482,757,823,172.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.