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Finding the Third Proportional to 9,858,823,086 and 23,249,841,996

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Solution

The third proportional to 9,858,823,086 and 23,249,841,996 is: 54,829,582,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858,823,086 : 23,249,841,996 = 23,249,841,996 : x
  2. Step 2: Convert to fraction form
    9,858,823,086/23,249,841,996 = 23,249,841,996/x
  3. Step 3: Cross multiply
    9,858,823,086x = 23,249,841,996 × 23,249,841,996
  4. Step 4: Simplify right side
    9,858,823,086x = 540,555,152,838,965,264,384
  5. Step 5: Solve for x
    x = 540,555,152,838,965,264,384/9,858,823,086
  6. Step 6: Final answer
    x = 54,829,582,407.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.