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Finding the Third Proportional to 554,974,554,272 and 883,073,615,042

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Solution

The third proportional to 554,974,554,272 and 883,073,615,042 is: 1,405,143,719,798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,974,554,272 : 883,073,615,042 = 883,073,615,042 : x
  2. Step 2: Convert to fraction form
    554,974,554,272/883,073,615,042 = 883,073,615,042/x
  3. Step 3: Cross multiply
    554,974,554,272x = 883,073,615,042 × 883,073,615,042
  4. Step 4: Simplify right side
    554,974,554,272x = 779,819,009,583,346,471,665,664
  5. Step 5: Solve for x
    x = 779,819,009,583,346,471,665,664/554,974,554,272
  6. Step 6: Final answer
    x = 1,405,143,719,798.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.