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Finding the Third Proportional to 1,703,812,461.75 and 2,546,328,042

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Solution

The third proportional to 1,703,812,461.75 and 2,546,328,042 is: 3,805,457,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703,812,461.75 : 2,546,328,042 = 2,546,328,042 : x
  2. Step 2: Convert to fraction form
    1,703,812,461.75/2,546,328,042 = 2,546,328,042/x
  3. Step 3: Cross multiply
    1,703,812,461.75x = 2,546,328,042 × 2,546,328,042
  4. Step 4: Simplify right side
    1,703,812,461.75x = 6,483,786,497,475,553,280
  5. Step 5: Solve for x
    x = 6,483,786,497,475,553,280/1,703,812,461.75
  6. Step 6: Final answer
    x = 3,805,457,844.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.