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Finding the Third Proportional to 1,559,661,700 and 3,425,450,984

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Solution

The third proportional to 1,559,661,700 and 3,425,450,984 is: 7,523,243,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559,661,700 : 3,425,450,984 = 3,425,450,984 : x
  2. Step 2: Convert to fraction form
    1,559,661,700/3,425,450,984 = 3,425,450,984/x
  3. Step 3: Cross multiply
    1,559,661,700x = 3,425,450,984 × 3,425,450,984
  4. Step 4: Simplify right side
    1,559,661,700x = 11,733,714,443,786,567,680
  5. Step 5: Solve for x
    x = 11,733,714,443,786,567,680/1,559,661,700
  6. Step 6: Final answer
    x = 7,523,243,305.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.