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Finding the Third Proportional to 9,835,805,238 and 15,108,999,934.50

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Solution

The third proportional to 9,835,805,238 and 15,108,999,934.50 is: 23,209,271,991.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835,805,238 : 15,108,999,934.50 = 15,108,999,934.50 : x
  2. Step 2: Convert to fraction form
    9,835,805,238/15,108,999,934.50 = 15,108,999,934.50/x
  3. Step 3: Cross multiply
    9,835,805,238x = 15,108,999,934.50 × 15,108,999,934.50
  4. Step 4: Simplify right side
    9,835,805,238x = 228,281,879,020,721,012,736
  5. Step 5: Solve for x
    x = 228,281,879,020,721,012,736/9,835,805,238
  6. Step 6: Final answer
    x = 23,209,271,991.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.