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Finding the Third Proportional to 689,148,352 and 1,512,197,966

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Solution

The third proportional to 689,148,352 and 1,512,197,966 is: 3,318,215,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,148,352 : 1,512,197,966 = 1,512,197,966 : x
  2. Step 2: Convert to fraction form
    689,148,352/1,512,197,966 = 1,512,197,966/x
  3. Step 3: Cross multiply
    689,148,352x = 1,512,197,966 × 1,512,197,966
  4. Step 4: Simplify right side
    689,148,352x = 2,286,742,688,374,537,216
  5. Step 5: Solve for x
    x = 2,286,742,688,374,537,216/689,148,352
  6. Step 6: Final answer
    x = 3,318,215,420.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.