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Finding the Third Proportional to 312,596,690 and 459,531,003

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Solution

The third proportional to 312,596,690 and 459,531,003 is: 675,530,962.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,596,690 : 459,531,003 = 459,531,003 : x
  2. Step 2: Convert to fraction form
    312,596,690/459,531,003 = 459,531,003/x
  3. Step 3: Cross multiply
    312,596,690x = 459,531,003 × 459,531,003
  4. Step 4: Simplify right side
    312,596,690x = 211,168,742,718,186,016
  5. Step 5: Solve for x
    x = 211,168,742,718,186,016/312,596,690
  6. Step 6: Final answer
    x = 675,530,962.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.