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Finding the Third Proportional to 457,307,966 and 973,606,612

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Solution

The third proportional to 457,307,966 and 973,606,612 is: 2,072,804,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,307,966 : 973,606,612 = 973,606,612 : x
  2. Step 2: Convert to fraction form
    457,307,966/973,606,612 = 973,606,612/x
  3. Step 3: Cross multiply
    457,307,966x = 973,606,612 × 973,606,612
  4. Step 4: Simplify right side
    457,307,966x = 947,909,834,930,118,528
  5. Step 5: Solve for x
    x = 947,909,834,930,118,528/457,307,966
  6. Step 6: Final answer
    x = 2,072,804,117.59

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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.