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Finding the Third Proportional to 134,124,031,806 and 272,189,230,068

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Solution

The third proportional to 134,124,031,806 and 272,189,230,068 is: 552,376,602,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,124,031,806 : 272,189,230,068 = 272,189,230,068 : x
  2. Step 2: Convert to fraction form
    134,124,031,806/272,189,230,068 = 272,189,230,068/x
  3. Step 3: Cross multiply
    134,124,031,806x = 272,189,230,068 × 272,189,230,068
  4. Step 4: Simplify right side
    134,124,031,806x = 74,086,976,965,010,631,163,904
  5. Step 5: Solve for x
    x = 74,086,976,965,010,631,163,904/134,124,031,806
  6. Step 6: Final answer
    x = 552,376,602,219.74

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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.