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Finding the Third Proportional to 295,048,089 and 643,492,991.25

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Solution

The third proportional to 295,048,089 and 643,492,991.25 is: 1,403,443,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,048,089 : 643,492,991.25 = 643,492,991.25 : x
  2. Step 2: Convert to fraction form
    295,048,089/643,492,991.25 = 643,492,991.25/x
  3. Step 3: Cross multiply
    295,048,089x = 643,492,991.25 × 643,492,991.25
  4. Step 4: Simplify right side
    295,048,089x = 414,083,229,787,872,576
  5. Step 5: Solve for x
    x = 414,083,229,787,872,576/295,048,089
  6. Step 6: Final answer
    x = 1,403,443,185.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.