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Finding the Third Proportional to 310,556,727 and 664,738,650

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Solution

The third proportional to 310,556,727 and 664,738,650 is: 1,422,855,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,556,727 : 664,738,650 = 664,738,650 : x
  2. Step 2: Convert to fraction form
    310,556,727/664,738,650 = 664,738,650/x
  3. Step 3: Cross multiply
    310,556,727x = 664,738,650 × 664,738,650
  4. Step 4: Simplify right side
    310,556,727x = 441,877,472,803,822,528
  5. Step 5: Solve for x
    x = 441,877,472,803,822,528/310,556,727
  6. Step 6: Final answer
    x = 1,422,855,904.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.