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Finding the Third Proportional to 429,742,816.50 and 920,748,761

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Solution

The third proportional to 429,742,816.50 and 920,748,761 is: 1,972,757,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,742,816.50 : 920,748,761 = 920,748,761 : x
  2. Step 2: Convert to fraction form
    429,742,816.50/920,748,761 = 920,748,761/x
  3. Step 3: Cross multiply
    429,742,816.50x = 920,748,761 × 920,748,761
  4. Step 4: Simplify right side
    429,742,816.50x = 847,778,280,883,035,136
  5. Step 5: Solve for x
    x = 847,778,280,883,035,136/429,742,816.50
  6. Step 6: Final answer
    x = 1,972,757,305.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.