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Finding the Third Proportional to 8,431,580,894 and 18,748,342,936.50

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Solution

The third proportional to 8,431,580,894 and 18,748,342,936.50 is: 41,688,547,768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431,580,894 : 18,748,342,936.50 = 18,748,342,936.50 : x
  2. Step 2: Convert to fraction form
    8,431,580,894/18,748,342,936.50 = 18,748,342,936.50/x
  3. Step 3: Cross multiply
    8,431,580,894x = 18,748,342,936.50 × 18,748,342,936.50
  4. Step 4: Simplify right side
    8,431,580,894x = 351,500,362,864,609,460,224
  5. Step 5: Solve for x
    x = 351,500,362,864,609,460,224/8,431,580,894
  6. Step 6: Final answer
    x = 41,688,547,768.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.