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Finding the Third Proportional to 9,924,623,007 and 15,365,500,656

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Solution

The third proportional to 9,924,623,007 and 15,365,500,656 is: 23,789,176,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924,623,007 : 15,365,500,656 = 15,365,500,656 : x
  2. Step 2: Convert to fraction form
    9,924,623,007/15,365,500,656 = 15,365,500,656/x
  3. Step 3: Cross multiply
    9,924,623,007x = 15,365,500,656 × 15,365,500,656
  4. Step 4: Simplify right side
    9,924,623,007x = 236,098,610,409,536,421,888
  5. Step 5: Solve for x
    x = 236,098,610,409,536,421,888/9,924,623,007
  6. Step 6: Final answer
    x = 23,789,176,701.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.