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Finding the Third Proportional to 1,520,782,610,258 and 3,222,878,009,368

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Solution

The third proportional to 1,520,782,610,258 and 3,222,878,009,368 is: 6,829,998,313,503.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520,782,610,258 : 3,222,878,009,368 = 3,222,878,009,368 : x
  2. Step 2: Convert to fraction form
    1,520,782,610,258/3,222,878,009,368 = 3,222,878,009,368/x
  3. Step 3: Cross multiply
    1,520,782,610,258x = 3,222,878,009,368 × 3,222,878,009,368
  4. Step 4: Simplify right side
    1,520,782,610,258x = 10,386,942,663,267,842,091,122,688
  5. Step 5: Solve for x
    x = 10,386,942,663,267,842,091,122,688/1,520,782,610,258
  6. Step 6: Final answer
    x = 6,829,998,313,503.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.