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Finding the Third Proportional to 712,106,608,462.74 and 960,799,013,559.69

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Solution

The third proportional to 712,106,608,462.74 and 960,799,013,559.69 is: 1,296,343,459,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,106,608,462.74 : 960,799,013,559.69 = 960,799,013,559.69 : x
  2. Step 2: Convert to fraction form
    712,106,608,462.74/960,799,013,559.69 = 960,799,013,559.69/x
  3. Step 3: Cross multiply
    712,106,608,462.74x = 960,799,013,559.69 × 960,799,013,559.69
  4. Step 4: Simplify right side
    712,106,608,462.74x = 923,134,744,457,273,321,455,616
  5. Step 5: Solve for x
    x = 923,134,744,457,273,321,455,616/712,106,608,462.74
  6. Step 6: Final answer
    x = 1,296,343,459,654.29

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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.