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Finding the Third Proportional to 9,858,999,564 and 15,271,354,696.50

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Solution

The third proportional to 9,858,999,564 and 15,271,354,696.50 is: 23,654,963,442.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858,999,564 : 15,271,354,696.50 = 15,271,354,696.50 : x
  2. Step 2: Convert to fraction form
    9,858,999,564/15,271,354,696.50 = 15,271,354,696.50/x
  3. Step 3: Cross multiply
    9,858,999,564x = 15,271,354,696.50 × 15,271,354,696.50
  4. Step 4: Simplify right side
    9,858,999,564x = 233,214,274,266,312,605,696
  5. Step 5: Solve for x
    x = 233,214,274,266,312,605,696/9,858,999,564
  6. Step 6: Final answer
    x = 23,654,963,442.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.