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Finding the Third Proportional to 35,891,456,898 and 78,537,489,594

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Solution

The third proportional to 35,891,456,898 and 78,537,489,594 is: 171,855,304,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,891,456,898 : 78,537,489,594 = 78,537,489,594 : x
  2. Step 2: Convert to fraction form
    35,891,456,898/78,537,489,594 = 78,537,489,594/x
  3. Step 3: Cross multiply
    35,891,456,898x = 78,537,489,594 × 78,537,489,594
  4. Step 4: Simplify right side
    35,891,456,898x = 6,168,137,271,727,657,844,736
  5. Step 5: Solve for x
    x = 6,168,137,271,727,657,844,736/35,891,456,898
  6. Step 6: Final answer
    x = 171,855,304,989.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.