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Finding the Third Proportional to 662,378,688 and 1,445,069,639.25

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Solution

The third proportional to 662,378,688 and 1,445,069,639.25 is: 3,152,616,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,378,688 : 1,445,069,639.25 = 1,445,069,639.25 : x
  2. Step 2: Convert to fraction form
    662,378,688/1,445,069,639.25 = 1,445,069,639.25/x
  3. Step 3: Cross multiply
    662,378,688x = 1,445,069,639.25 × 1,445,069,639.25
  4. Step 4: Simplify right side
    662,378,688x = 2,088,226,262,282,125,056
  5. Step 5: Solve for x
    x = 2,088,226,262,282,125,056/662,378,688
  6. Step 6: Final answer
    x = 3,152,616,924.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.