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Finding the Third Proportional to 8,706,487,174 and 17,778,413,294

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Solution

The third proportional to 8,706,487,174 and 17,778,413,294 is: 36,303,043,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706,487,174 : 17,778,413,294 = 17,778,413,294 : x
  2. Step 2: Convert to fraction form
    8,706,487,174/17,778,413,294 = 17,778,413,294/x
  3. Step 3: Cross multiply
    8,706,487,174x = 17,778,413,294 × 17,778,413,294
  4. Step 4: Simplify right side
    8,706,487,174x = 316,071,979,252,275,937,280
  5. Step 5: Solve for x
    x = 316,071,979,252,275,937,280/8,706,487,174
  6. Step 6: Final answer
    x = 36,303,043,114.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.