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Finding the Third Proportional to 740,913,111 and 1,463,088,006

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Solution

The third proportional to 740,913,111 and 1,463,088,006 is: 2,889,173,482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,913,111 : 1,463,088,006 = 1,463,088,006 : x
  2. Step 2: Convert to fraction form
    740,913,111/1,463,088,006 = 1,463,088,006/x
  3. Step 3: Cross multiply
    740,913,111x = 1,463,088,006 × 1,463,088,006
  4. Step 4: Simplify right side
    740,913,111x = 2,140,626,513,301,056,000
  5. Step 5: Solve for x
    x = 2,140,626,513,301,056,000/740,913,111
  6. Step 6: Final answer
    x = 2,889,173,482.72

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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.