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Finding the Third Proportional to 700,942,714 and 1,495,702,989

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Solution

The third proportional to 700,942,714 and 1,495,702,989 is: 3,191,598,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,942,714 : 1,495,702,989 = 1,495,702,989 : x
  2. Step 2: Convert to fraction form
    700,942,714/1,495,702,989 = 1,495,702,989/x
  3. Step 3: Cross multiply
    700,942,714x = 1,495,702,989 × 1,495,702,989
  4. Step 4: Simplify right side
    700,942,714x = 2,237,127,431,303,534,080
  5. Step 5: Solve for x
    x = 2,237,127,431,303,534,080/700,942,714
  6. Step 6: Final answer
    x = 3,191,598,095.85

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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.