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Finding the Third Proportional to 711,671,864,707 and 1,084,158,554,370

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Solution

The third proportional to 711,671,864,707 and 1,084,158,554,370 is: 1,651,603,539,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,671,864,707 : 1,084,158,554,370 = 1,084,158,554,370 : x
  2. Step 2: Convert to fraction form
    711,671,864,707/1,084,158,554,370 = 1,084,158,554,370/x
  3. Step 3: Cross multiply
    711,671,864,707x = 1,084,158,554,370 × 1,084,158,554,370
  4. Step 4: Simplify right side
    711,671,864,707x = 1,175,399,771,013,648,213,868,544
  5. Step 5: Solve for x
    x = 1,175,399,771,013,648,213,868,544/711,671,864,707
  6. Step 6: Final answer
    x = 1,651,603,539,922.95

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