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Finding the Third Proportional to 1,460,566,394 and 3,444,421,062

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Solution

The third proportional to 1,460,566,394 and 3,444,421,062 is: 8,122,901,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,566,394 : 3,444,421,062 = 3,444,421,062 : x
  2. Step 2: Convert to fraction form
    1,460,566,394/3,444,421,062 = 3,444,421,062/x
  3. Step 3: Cross multiply
    1,460,566,394x = 3,444,421,062 × 3,444,421,062
  4. Step 4: Simplify right side
    1,460,566,394x = 11,864,036,452,349,208,576
  5. Step 5: Solve for x
    x = 11,864,036,452,349,208,576/1,460,566,394
  6. Step 6: Final answer
    x = 8,122,901,157.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.