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Finding the Third Proportional to 700,942,707 and 1,495,702,971

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Solution

The third proportional to 700,942,707 and 1,495,702,971 is: 3,191,598,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,942,707 : 1,495,702,971 = 1,495,702,971 : x
  2. Step 2: Convert to fraction form
    700,942,707/1,495,702,971 = 1,495,702,971/x
  3. Step 3: Cross multiply
    700,942,707x = 1,495,702,971 × 1,495,702,971
  4. Step 4: Simplify right side
    700,942,707x = 2,237,127,377,458,226,944
  5. Step 5: Solve for x
    x = 2,237,127,377,458,226,944/700,942,707
  6. Step 6: Final answer
    x = 3,191,598,050.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.