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Finding the Third Proportional to 1,163,472,011 and 1,852,208,908

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Solution

The third proportional to 1,163,472,011 and 1,852,208,908 is: 2,948,655,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,472,011 : 1,852,208,908 = 1,852,208,908 : x
  2. Step 2: Convert to fraction form
    1,163,472,011/1,852,208,908 = 1,852,208,908/x
  3. Step 3: Cross multiply
    1,163,472,011x = 1,852,208,908 × 1,852,208,908
  4. Step 4: Simplify right side
    1,163,472,011x = 3,430,677,838,874,552,320
  5. Step 5: Solve for x
    x = 3,430,677,838,874,552,320/1,163,472,011
  6. Step 6: Final answer
    x = 2,948,655,237.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.