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Finding the Third Proportional to 4,282,440,429 and 6,546,747,053

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Solution

The third proportional to 4,282,440,429 and 6,546,747,053 is: 10,008,287,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282,440,429 : 6,546,747,053 = 6,546,747,053 : x
  2. Step 2: Convert to fraction form
    4,282,440,429/6,546,747,053 = 6,546,747,053/x
  3. Step 3: Cross multiply
    4,282,440,429x = 6,546,747,053 × 6,546,747,053
  4. Step 4: Simplify right side
    4,282,440,429x = 42,859,896,975,964,184,576
  5. Step 5: Solve for x
    x = 42,859,896,975,964,184,576/4,282,440,429
  6. Step 6: Final answer
    x = 10,008,287,957.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.