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Finding the Third Proportional to 698,752,890 and 1,495,663,956

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Solution

The third proportional to 698,752,890 and 1,495,663,956 is: 3,201,433,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,752,890 : 1,495,663,956 = 1,495,663,956 : x
  2. Step 2: Convert to fraction form
    698,752,890/1,495,663,956 = 1,495,663,956/x
  3. Step 3: Cross multiply
    698,752,890x = 1,495,663,956 × 1,495,663,956
  4. Step 4: Simplify right side
    698,752,890x = 2,237,010,669,277,570,048
  5. Step 5: Solve for x
    x = 2,237,010,669,277,570,048/698,752,890
  6. Step 6: Final answer
    x = 3,201,433,155.11

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Why These Related Problems?

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