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Finding the Third Proportional to 710,294,315,856 and 1,026,252,626,592

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Solution

The third proportional to 710,294,315,856 and 1,026,252,626,592 is: 1,482,757,823,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,294,315,856 : 1,026,252,626,592 = 1,026,252,626,592 : x
  2. Step 2: Convert to fraction form
    710,294,315,856/1,026,252,626,592 = 1,026,252,626,592/x
  3. Step 3: Cross multiply
    710,294,315,856x = 1,026,252,626,592 × 1,026,252,626,592
  4. Step 4: Simplify right side
    710,294,315,856x = 1,053,194,453,586,979,000,942,592
  5. Step 5: Solve for x
    x = 1,053,194,453,586,979,000,942,592/710,294,315,856
  6. Step 6: Final answer
    x = 1,482,757,823,167.62

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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.