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Finding the Third Proportional to 4,602,937,686 and 9,924,345,330

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Solution

The third proportional to 4,602,937,686 and 9,924,345,330 is: 21,397,776,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,937,686 : 9,924,345,330 = 9,924,345,330 : x
  2. Step 2: Convert to fraction form
    4,602,937,686/9,924,345,330 = 9,924,345,330/x
  3. Step 3: Cross multiply
    4,602,937,686x = 9,924,345,330 × 9,924,345,330
  4. Step 4: Simplify right side
    4,602,937,686x = 98,492,630,229,092,810,752
  5. Step 5: Solve for x
    x = 98,492,630,229,092,810,752/4,602,937,686
  6. Step 6: Final answer
    x = 21,397,776,148.19

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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.