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Finding the Third Proportional to 700,942,716 and 1,495,702,991

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Solution

The third proportional to 700,942,716 and 1,495,702,991 is: 3,191,598,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,942,716 : 1,495,702,991 = 1,495,702,991 : x
  2. Step 2: Convert to fraction form
    700,942,716/1,495,702,991 = 1,495,702,991/x
  3. Step 3: Cross multiply
    700,942,716x = 1,495,702,991 × 1,495,702,991
  4. Step 4: Simplify right side
    700,942,716x = 2,237,127,437,286,345,984
  5. Step 5: Solve for x
    x = 2,237,127,437,286,345,984/700,942,716
  6. Step 6: Final answer
    x = 3,191,598,095.28

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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.