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Finding the Third Proportional to 249,563,629 and 538,586,753

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Solution

The third proportional to 249,563,629 and 538,586,753 is: 1,162,331,593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,563,629 : 538,586,753 = 538,586,753 : x
  2. Step 2: Convert to fraction form
    249,563,629/538,586,753 = 538,586,753/x
  3. Step 3: Cross multiply
    249,563,629x = 538,586,753 × 538,586,753
  4. Step 4: Simplify right side
    249,563,629x = 290,075,690,507,083,008
  5. Step 5: Solve for x
    x = 290,075,690,507,083,008/249,563,629
  6. Step 6: Final answer
    x = 1,162,331,593.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.