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Finding the Third Proportional to 4,994,770,988,394 and 7,947,662,535,297

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Solution

The third proportional to 4,994,770,988,394 and 7,947,662,535,297 is: 12,646,293,478,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994,770,988,394 : 7,947,662,535,297 = 7,947,662,535,297 : x
  2. Step 2: Convert to fraction form
    4,994,770,988,394/7,947,662,535,297 = 7,947,662,535,297/x
  3. Step 3: Cross multiply
    4,994,770,988,394x = 7,947,662,535,297 × 7,947,662,535,297
  4. Step 4: Simplify right side
    4,994,770,988,394x = 63,165,339,774,963,541,725,937,664
  5. Step 5: Solve for x
    x = 63,165,339,774,963,541,725,937,664/4,994,770,988,394
  6. Step 6: Final answer
    x = 12,646,293,478,066.65

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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.