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Finding the Third Proportional to 295,048,081 and 643,492,982

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Solution

The third proportional to 295,048,081 and 643,492,982 is: 1,403,443,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,048,081 : 643,492,982 = 643,492,982 : x
  2. Step 2: Convert to fraction form
    295,048,081/643,492,982 = 643,492,982/x
  3. Step 3: Cross multiply
    295,048,081x = 643,492,982 × 643,492,982
  4. Step 4: Simplify right side
    295,048,081x = 414,083,217,883,252,352
  5. Step 5: Solve for x
    x = 414,083,217,883,252,352/295,048,081
  6. Step 6: Final answer
    x = 1,403,443,182.82

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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.