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Finding the Third Proportional to 4,865,852,988 and 7,537,845,216

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Solution

The third proportional to 4,865,852,988 and 7,537,845,216 is: 11,677,112,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865,852,988 : 7,537,845,216 = 7,537,845,216 : x
  2. Step 2: Convert to fraction form
    4,865,852,988/7,537,845,216 = 7,537,845,216/x
  3. Step 3: Cross multiply
    4,865,852,988x = 7,537,845,216 × 7,537,845,216
  4. Step 4: Simplify right side
    4,865,852,988x = 56,819,110,500,374,085,632
  5. Step 5: Solve for x
    x = 56,819,110,500,374,085,632/4,865,852,988
  6. Step 6: Final answer
    x = 11,677,112,037.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.