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Finding the Third Proportional to 249,563,627.44 and 538,586,749.13

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Solution

The third proportional to 249,563,627.44 and 538,586,749.13 is: 1,162,331,583.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,563,627.44 : 538,586,749.13 = 538,586,749.13 : x
  2. Step 2: Convert to fraction form
    249,563,627.44/538,586,749.13 = 538,586,749.13/x
  3. Step 3: Cross multiply
    249,563,627.44x = 538,586,749.13 × 538,586,749.13
  4. Step 4: Simplify right side
    249,563,627.44x = 290,075,686,333,068,032
  5. Step 5: Solve for x
    x = 290,075,686,333,068,032/249,563,627.44
  6. Step 6: Final answer
    x = 1,162,331,583.78

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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.