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Finding the Third Proportional to 249,564,096 and 538,587,684

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Solution

The third proportional to 249,564,096 and 538,587,684 is: 1,162,333,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,564,096 : 538,587,684 = 538,587,684 : x
  2. Step 2: Convert to fraction form
    249,564,096/538,587,684 = 538,587,684/x
  3. Step 3: Cross multiply
    249,564,096x = 538,587,684 × 538,587,684
  4. Step 4: Simplify right side
    249,564,096x = 290,076,693,356,483,840
  5. Step 5: Solve for x
    x = 290,076,693,356,483,840/249,564,096
  6. Step 6: Final answer
    x = 1,162,333,436.60

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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.