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Finding the Third Proportional to 10,458,540,689.75 and 22,409,129,552

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Solution

The third proportional to 10,458,540,689.75 and 22,409,129,552 is: 48,015,215,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458,540,689.75 : 22,409,129,552 = 22,409,129,552 : x
  2. Step 2: Convert to fraction form
    10,458,540,689.75/22,409,129,552 = 22,409,129,552/x
  3. Step 3: Cross multiply
    10,458,540,689.75x = 22,409,129,552 × 22,409,129,552
  4. Step 4: Simplify right side
    10,458,540,689.75x = 502,169,087,278,319,730,688
  5. Step 5: Solve for x
    x = 502,169,087,278,319,730,688/10,458,540,689.75
  6. Step 6: Final answer
    x = 48,015,215,714.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.