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Finding the Third Proportional to 959,746,697,406 and 2,063,931,972,732

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Solution

The third proportional to 959,746,697,406 and 2,063,931,972,732 is: 4,438,478,610,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,746,697,406 : 2,063,931,972,732 = 2,063,931,972,732 : x
  2. Step 2: Convert to fraction form
    959,746,697,406/2,063,931,972,732 = 2,063,931,972,732/x
  3. Step 3: Cross multiply
    959,746,697,406x = 2,063,931,972,732 × 2,063,931,972,732
  4. Step 4: Simplify right side
    959,746,697,406x = 4,259,815,188,065,405,221,470,208
  5. Step 5: Solve for x
    x = 4,259,815,188,065,405,221,470,208/959,746,697,406
  6. Step 6: Final answer
    x = 4,438,478,610,636.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.