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Finding the Third Proportional to 1,241,683,650 and 2,703,816,900

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Solution

The third proportional to 1,241,683,650 and 2,703,816,900 is: 5,887,671,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,683,650 : 2,703,816,900 = 2,703,816,900 : x
  2. Step 2: Convert to fraction form
    1,241,683,650/2,703,816,900 = 2,703,816,900/x
  3. Step 3: Cross multiply
    1,241,683,650x = 2,703,816,900 × 2,703,816,900
  4. Step 4: Simplify right side
    1,241,683,650x = 7,310,625,828,725,610,496
  5. Step 5: Solve for x
    x = 7,310,625,828,725,610,496/1,241,683,650
  6. Step 6: Final answer
    x = 5,887,671,814.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.