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Finding the Third Proportional to 384,675,597 and 907,171,951

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Solution

The third proportional to 384,675,597 and 907,171,951 is: 2,139,363,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,675,597 : 907,171,951 = 907,171,951 : x
  2. Step 2: Convert to fraction form
    384,675,597/907,171,951 = 907,171,951/x
  3. Step 3: Cross multiply
    384,675,597x = 907,171,951 × 907,171,951
  4. Step 4: Simplify right side
    384,675,597x = 822,960,948,681,146,368
  5. Step 5: Solve for x
    x = 822,960,948,681,146,368/384,675,597
  6. Step 6: Final answer
    x = 2,139,363,544.50

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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.