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Finding the Third Proportional to 124,369,532,784 and 268,556,526,432

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Solution

The third proportional to 124,369,532,784 and 268,556,526,432 is: 579,905,755,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,369,532,784 : 268,556,526,432 = 268,556,526,432 : x
  2. Step 2: Convert to fraction form
    124,369,532,784/268,556,526,432 = 268,556,526,432/x
  3. Step 3: Cross multiply
    124,369,532,784x = 268,556,526,432 × 268,556,526,432
  4. Step 4: Simplify right side
    124,369,532,784x = 72,122,607,889,221,517,574,144
  5. Step 5: Solve for x
    x = 72,122,607,889,221,517,574,144/124,369,532,784
  6. Step 6: Final answer
    x = 579,905,755,652.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.