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Finding the Third Proportional to 740,913,113 and 1,463,088,010

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Solution

The third proportional to 740,913,113 and 1,463,088,010 is: 2,889,173,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,913,113 : 1,463,088,010 = 1,463,088,010 : x
  2. Step 2: Convert to fraction form
    740,913,113/1,463,088,010 = 1,463,088,010/x
  3. Step 3: Cross multiply
    740,913,113x = 1,463,088,010 × 1,463,088,010
  4. Step 4: Simplify right side
    740,913,113x = 2,140,626,525,005,760,000
  5. Step 5: Solve for x
    x = 2,140,626,525,005,760,000/740,913,113
  6. Step 6: Final answer
    x = 2,889,173,490.72

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.