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Finding the Third Proportional to 683,648,852,256 and 1,004,994,140,304

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Solution

The third proportional to 683,648,852,256 and 1,004,994,140,304 is: 1,477,385,968,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,648,852,256 : 1,004,994,140,304 = 1,004,994,140,304 : x
  2. Step 2: Convert to fraction form
    683,648,852,256/1,004,994,140,304 = 1,004,994,140,304/x
  3. Step 3: Cross multiply
    683,648,852,256x = 1,004,994,140,304 × 1,004,994,140,304
  4. Step 4: Simplify right side
    683,648,852,256x = 1,010,013,222,045,376,070,025,216
  5. Step 5: Solve for x
    x = 1,010,013,222,045,376,070,025,216/683,648,852,256
  6. Step 6: Final answer
    x = 1,477,385,968,999.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.