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Finding the Third Proportional to 351,549,330 and 742,956,654

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Solution

The third proportional to 351,549,330 and 742,956,654 is: 1,570,148,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,549,330 : 742,956,654 = 742,956,654 : x
  2. Step 2: Convert to fraction form
    351,549,330/742,956,654 = 742,956,654/x
  3. Step 3: Cross multiply
    351,549,330x = 742,956,654 × 742,956,654
  4. Step 4: Simplify right side
    351,549,330x = 551,984,589,722,875,712
  5. Step 5: Solve for x
    x = 551,984,589,722,875,712/351,549,330
  6. Step 6: Final answer
    x = 1,570,148,319.51

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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.