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Finding the Third Proportional to 319,742,768 and 699,757,209

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Solution

The third proportional to 319,742,768 and 699,757,209 is: 1,531,419,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,742,768 : 699,757,209 = 699,757,209 : x
  2. Step 2: Convert to fraction form
    319,742,768/699,757,209 = 699,757,209/x
  3. Step 3: Cross multiply
    319,742,768x = 699,757,209 × 699,757,209
  4. Step 4: Simplify right side
    319,742,768x = 489,660,151,547,469,696
  5. Step 5: Solve for x
    x = 489,660,151,547,469,696/319,742,768
  6. Step 6: Final answer
    x = 1,531,419,004.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.