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Finding the Third Proportional to 4,602,937,740 and 9,924,345,450

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Solution

The third proportional to 4,602,937,740 and 9,924,345,450 is: 21,397,776,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,937,740 : 9,924,345,450 = 9,924,345,450 : x
  2. Step 2: Convert to fraction form
    4,602,937,740/9,924,345,450 = 9,924,345,450/x
  3. Step 3: Cross multiply
    4,602,937,740x = 9,924,345,450 × 9,924,345,450
  4. Step 4: Simplify right side
    4,602,937,740x = 98,492,632,610,935,701,504
  5. Step 5: Solve for x
    x = 98,492,632,610,935,701,504/4,602,937,740
  6. Step 6: Final answer
    x = 21,397,776,414.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.