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Finding the Third Proportional to 277,653,766,071 and 563,114,524,143

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Solution

The third proportional to 277,653,766,071 and 563,114,524,143 is: 1,142,062,547,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,653,766,071 : 563,114,524,143 = 563,114,524,143 : x
  2. Step 2: Convert to fraction form
    277,653,766,071/563,114,524,143 = 563,114,524,143/x
  3. Step 3: Cross multiply
    277,653,766,071x = 563,114,524,143 × 563,114,524,143
  4. Step 4: Simplify right side
    277,653,766,071x = 317,097,967,300,797,316,202,496
  5. Step 5: Solve for x
    x = 317,097,967,300,797,316,202,496/277,653,766,071
  6. Step 6: Final answer
    x = 1,142,062,547,135.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.