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Finding the Third Proportional to 700,942,709 and 1,495,702,975

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Solution

The third proportional to 700,942,709 and 1,495,702,975 is: 3,191,598,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,942,709 : 1,495,702,975 = 1,495,702,975 : x
  2. Step 2: Convert to fraction form
    700,942,709/1,495,702,975 = 1,495,702,975/x
  3. Step 3: Cross multiply
    700,942,709x = 1,495,702,975 × 1,495,702,975
  4. Step 4: Simplify right side
    700,942,709x = 2,237,127,389,423,850,752
  5. Step 5: Solve for x
    x = 2,237,127,389,423,850,752/700,942,709
  6. Step 6: Final answer
    x = 3,191,598,058.87

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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.