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Finding the Third Proportional to 46,750,195,818 and 100,120,021,974

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Solution

The third proportional to 46,750,195,818 and 100,120,021,974 is: 214,416,616,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,750,195,818 : 100,120,021,974 = 100,120,021,974 : x
  2. Step 2: Convert to fraction form
    46,750,195,818/100,120,021,974 = 100,120,021,974/x
  3. Step 3: Cross multiply
    46,750,195,818x = 100,120,021,974 × 100,120,021,974
  4. Step 4: Simplify right side
    46,750,195,818x = 10,024,018,800,074,242,916,352
  5. Step 5: Solve for x
    x = 10,024,018,800,074,242,916,352/46,750,195,818
  6. Step 6: Final answer
    x = 214,416,616,330.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.