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Finding the Third Proportional to 873,942,704.75 and 1,872,541,402.50

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Solution

The third proportional to 873,942,704.75 and 1,872,541,402.50 is: 4,012,175,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,942,704.75 : 1,872,541,402.50 = 1,872,541,402.50 : x
  2. Step 2: Convert to fraction form
    873,942,704.75/1,872,541,402.50 = 1,872,541,402.50/x
  3. Step 3: Cross multiply
    873,942,704.75x = 1,872,541,402.50 × 1,872,541,402.50
  4. Step 4: Simplify right side
    873,942,704.75x = 3,506,411,304,076,666,880
  5. Step 5: Solve for x
    x = 3,506,411,304,076,666,880/873,942,704.75
  6. Step 6: Final answer
    x = 4,012,175,266.20

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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.