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Finding the Third Proportional to 711,671,864,705 and 1,084,158,554,367

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Solution

The third proportional to 711,671,864,705 and 1,084,158,554,367 is: 1,651,603,539,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,671,864,705 : 1,084,158,554,367 = 1,084,158,554,367 : x
  2. Step 2: Convert to fraction form
    711,671,864,705/1,084,158,554,367 = 1,084,158,554,367/x
  3. Step 3: Cross multiply
    711,671,864,705x = 1,084,158,554,367 × 1,084,158,554,367
  4. Step 4: Simplify right side
    711,671,864,705x = 1,175,399,771,007,143,351,681,024
  5. Step 5: Solve for x
    x = 1,175,399,771,007,143,351,681,024/711,671,864,705
  6. Step 6: Final answer
    x = 1,651,603,539,918.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.