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Finding the Third Proportional to 316,507,929 and 674,822,226

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Solution

The third proportional to 316,507,929 and 674,822,226 is: 1,438,779,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,507,929 : 674,822,226 = 674,822,226 : x
  2. Step 2: Convert to fraction form
    316,507,929/674,822,226 = 674,822,226/x
  3. Step 3: Cross multiply
    316,507,929x = 674,822,226 × 674,822,226
  4. Step 4: Simplify right side
    316,507,929x = 455,385,036,703,595,072
  5. Step 5: Solve for x
    x = 455,385,036,703,595,072/316,507,929
  6. Step 6: Final answer
    x = 1,438,779,237.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.