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Finding the Third Proportional to 712,106,608,464 and 960,799,013,561

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Solution

The third proportional to 712,106,608,464 and 960,799,013,561 is: 1,296,343,459,655.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,106,608,464 : 960,799,013,561 = 960,799,013,561 : x
  2. Step 2: Convert to fraction form
    712,106,608,464/960,799,013,561 = 960,799,013,561/x
  3. Step 3: Cross multiply
    712,106,608,464x = 960,799,013,561 × 960,799,013,561
  4. Step 4: Simplify right side
    712,106,608,464x = 923,134,744,459,790,709,161,984
  5. Step 5: Solve for x
    x = 923,134,744,459,790,709,161,984/712,106,608,464
  6. Step 6: Final answer
    x = 1,296,343,459,655.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.