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Finding the Third Proportional to 3,838,333,470 and 5,897,175,150

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Solution

The third proportional to 3,838,333,470 and 5,897,175,150 is: 9,060,357,840.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838,333,470 : 5,897,175,150 = 5,897,175,150 : x
  2. Step 2: Convert to fraction form
    3,838,333,470/5,897,175,150 = 5,897,175,150/x
  3. Step 3: Cross multiply
    3,838,333,470x = 5,897,175,150 × 5,897,175,150
  4. Step 4: Simplify right side
    3,838,333,470x = 34,776,674,749,777,522,688
  5. Step 5: Solve for x
    x = 34,776,674,749,777,522,688/3,838,333,470
  6. Step 6: Final answer
    x = 9,060,357,840.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.