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Finding the Third Proportional to 154,335,336,664 and 334,316,430,000

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Solution

The third proportional to 154,335,336,664 and 334,316,430,000 is: 724,185,904,432.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,335,336,664 : 334,316,430,000 = 334,316,430,000 : x
  2. Step 2: Convert to fraction form
    154,335,336,664/334,316,430,000 = 334,316,430,000/x
  3. Step 3: Cross multiply
    154,335,336,664x = 334,316,430,000 × 334,316,430,000
  4. Step 4: Simplify right side
    154,335,336,664x = 111,767,475,367,944,894,021,632
  5. Step 5: Solve for x
    x = 111,767,475,367,944,894,021,632/154,335,336,664
  6. Step 6: Final answer
    x = 724,185,904,432.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.