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Finding the Third Proportional to 286,925,674 and 613,742,226

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Solution

The third proportional to 286,925,674 and 613,742,226 is: 1,312,812,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,925,674 : 613,742,226 = 613,742,226 : x
  2. Step 2: Convert to fraction form
    286,925,674/613,742,226 = 613,742,226/x
  3. Step 3: Cross multiply
    286,925,674x = 613,742,226 × 613,742,226
  4. Step 4: Simplify right side
    286,925,674x = 376,679,519,975,435,072
  5. Step 5: Solve for x
    x = 376,679,519,975,435,072/286,925,674
  6. Step 6: Final answer
    x = 1,312,812,181.37

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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.