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Finding the Third Proportional to 335,713,389 and 722,445,114

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Solution

The third proportional to 335,713,389 and 722,445,114 is: 1,554,680,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,713,389 : 722,445,114 = 722,445,114 : x
  2. Step 2: Convert to fraction form
    335,713,389/722,445,114 = 722,445,114/x
  3. Step 3: Cross multiply
    335,713,389x = 722,445,114 × 722,445,114
  4. Step 4: Simplify right side
    335,713,389x = 521,926,942,742,473,024
  5. Step 5: Solve for x
    x = 521,926,942,742,473,024/335,713,389
  6. Step 6: Final answer
    x = 1,554,680,152.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.