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Finding the Third Proportional to 351,549,323 and 742,956,640

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Solution

The third proportional to 351,549,323 and 742,956,640 is: 1,570,148,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,549,323 : 742,956,640 = 742,956,640 : x
  2. Step 2: Convert to fraction form
    351,549,323/742,956,640 = 742,956,640/x
  3. Step 3: Cross multiply
    351,549,323x = 742,956,640 × 742,956,640
  4. Step 4: Simplify right side
    351,549,323x = 551,984,568,920,089,600
  5. Step 5: Solve for x
    x = 551,984,568,920,089,600/351,549,323
  6. Step 6: Final answer
    x = 1,570,148,291.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.