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Finding the Third Proportional to 746,064,031,806 and 1,146,045,609,444

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Solution

The third proportional to 746,064,031,806 and 1,146,045,609,444 is: 1,760,466,237,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,064,031,806 : 1,146,045,609,444 = 1,146,045,609,444 : x
  2. Step 2: Convert to fraction form
    746,064,031,806/1,146,045,609,444 = 1,146,045,609,444/x
  3. Step 3: Cross multiply
    746,064,031,806x = 1,146,045,609,444 × 1,146,045,609,444
  4. Step 4: Simplify right side
    746,064,031,806x = 1,313,420,538,925,869,390,888,960
  5. Step 5: Solve for x
    x = 1,313,420,538,925,869,390,888,960/746,064,031,806
  6. Step 6: Final answer
    x = 1,760,466,237,390.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.