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Finding the Third Proportional to 457,307,964 and 973,606,608

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Solution

The third proportional to 457,307,964 and 973,606,608 is: 2,072,804,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,307,964 : 973,606,608 = 973,606,608 : x
  2. Step 2: Convert to fraction form
    457,307,964/973,606,608 = 973,606,608/x
  3. Step 3: Cross multiply
    457,307,964x = 973,606,608 × 973,606,608
  4. Step 4: Simplify right side
    457,307,964x = 947,909,827,141,265,664
  5. Step 5: Solve for x
    x = 947,909,827,141,265,664/457,307,964
  6. Step 6: Final answer
    x = 2,072,804,109.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.