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Finding the Third Proportional to 876,838,634 and 1,908,036,699

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Solution

The third proportional to 876,838,634 and 1,908,036,699 is: 4,151,965,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,838,634 : 1,908,036,699 = 1,908,036,699 : x
  2. Step 2: Convert to fraction form
    876,838,634/1,908,036,699 = 1,908,036,699/x
  3. Step 3: Cross multiply
    876,838,634x = 1,908,036,699 × 1,908,036,699
  4. Step 4: Simplify right side
    876,838,634x = 3,640,604,044,730,816,512
  5. Step 5: Solve for x
    x = 3,640,604,044,730,816,512/876,838,634
  6. Step 6: Final answer
    x = 4,151,965,827.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.