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Finding the Third Proportional to 554,974,554,261 and 883,073,615,026.50

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Solution

The third proportional to 554,974,554,261 and 883,073,615,026.50 is: 1,405,143,719,777.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,974,554,261 : 883,073,615,026.50 = 883,073,615,026.50 : x
  2. Step 2: Convert to fraction form
    554,974,554,261/883,073,615,026.50 = 883,073,615,026.50/x
  3. Step 3: Cross multiply
    554,974,554,261x = 883,073,615,026.50 × 883,073,615,026.50
  4. Step 4: Simplify right side
    554,974,554,261x = 779,819,009,555,971,155,427,328
  5. Step 5: Solve for x
    x = 779,819,009,555,971,155,427,328/554,974,554,261
  6. Step 6: Final answer
    x = 1,405,143,719,777.16

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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.