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Finding the Third Proportional to 1,385,693,948 and 2,869,610,402

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Solution

The third proportional to 1,385,693,948 and 2,869,610,402 is: 5,942,628,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,693,948 : 2,869,610,402 = 2,869,610,402 : x
  2. Step 2: Convert to fraction form
    1,385,693,948/2,869,610,402 = 2,869,610,402/x
  3. Step 3: Cross multiply
    1,385,693,948x = 2,869,610,402 × 2,869,610,402
  4. Step 4: Simplify right side
    1,385,693,948x = 8,234,663,859,266,601,984
  5. Step 5: Solve for x
    x = 8,234,663,859,266,601,984/1,385,693,948
  6. Step 6: Final answer
    x = 5,942,628,147.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.