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Finding the Third Proportional to 4,602,937,744 and 9,924,345,458

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Solution

The third proportional to 4,602,937,744 and 9,924,345,458 is: 21,397,776,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,937,744 : 9,924,345,458 = 9,924,345,458 : x
  2. Step 2: Convert to fraction form
    4,602,937,744/9,924,345,458 = 9,924,345,458/x
  3. Step 3: Cross multiply
    4,602,937,744x = 9,924,345,458 × 9,924,345,458
  4. Step 4: Simplify right side
    4,602,937,744x = 98,492,632,769,725,235,200
  5. Step 5: Solve for x
    x = 98,492,632,769,725,235,200/4,602,937,744
  6. Step 6: Final answer
    x = 21,397,776,430.52

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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.