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Finding the Third Proportional to 611,345,571 and 1,342,791,300

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Solution

The third proportional to 611,345,571 and 1,342,791,300 is: 2,949,376,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,345,571 : 1,342,791,300 = 1,342,791,300 : x
  2. Step 2: Convert to fraction form
    611,345,571/1,342,791,300 = 1,342,791,300/x
  3. Step 3: Cross multiply
    611,345,571x = 1,342,791,300 × 1,342,791,300
  4. Step 4: Simplify right side
    611,345,571x = 1,803,088,475,355,689,984
  5. Step 5: Solve for x
    x = 1,803,088,475,355,689,984/611,345,571
  6. Step 6: Final answer
    x = 2,949,376,851.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.