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Finding the Third Proportional to 384,675,766 and 907,172,303

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Solution

The third proportional to 384,675,766 and 907,172,303 is: 2,139,364,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,675,766 : 907,172,303 = 907,172,303 : x
  2. Step 2: Convert to fraction form
    384,675,766/907,172,303 = 907,172,303/x
  3. Step 3: Cross multiply
    384,675,766x = 907,172,303 × 907,172,303
  4. Step 4: Simplify right side
    384,675,766x = 822,961,587,330,323,840
  5. Step 5: Solve for x
    x = 822,961,587,330,323,840/384,675,766
  6. Step 6: Final answer
    x = 2,139,364,264.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.