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Finding the Third Proportional to 2,631,897,264 and 5,852,249,181

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Solution

The third proportional to 2,631,897,264 and 5,852,249,181 is: 13,012,977,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631,897,264 : 5,852,249,181 = 5,852,249,181 : x
  2. Step 2: Convert to fraction form
    2,631,897,264/5,852,249,181 = 5,852,249,181/x
  3. Step 3: Cross multiply
    2,631,897,264x = 5,852,249,181 × 5,852,249,181
  4. Step 4: Simplify right side
    2,631,897,264x = 34,248,820,476,515,172,352
  5. Step 5: Solve for x
    x = 34,248,820,476,515,172,352/2,631,897,264
  6. Step 6: Final answer
    x = 13,012,977,727.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.