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Finding the Third Proportional to 2,353,637,996,274 and 3,365,706,342,843

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Solution

The third proportional to 2,353,637,996,274 and 3,365,706,342,843 is: 4,812,965,801,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353,637,996,274 : 3,365,706,342,843 = 3,365,706,342,843 : x
  2. Step 2: Convert to fraction form
    2,353,637,996,274/3,365,706,342,843 = 3,365,706,342,843/x
  3. Step 3: Cross multiply
    2,353,637,996,274x = 3,365,706,342,843 × 3,365,706,342,843
  4. Step 4: Simplify right side
    2,353,637,996,274x = 11,327,979,186,253,602,165,358,592
  5. Step 5: Solve for x
    x = 11,327,979,186,253,602,165,358,592/2,353,637,996,274
  6. Step 6: Final answer
    x = 4,812,965,801,957.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.