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Finding the Third Proportional to 23,070,251,948 and 47,363,526,784

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Solution

The third proportional to 23,070,251,948 and 47,363,526,784 is: 97,237,935,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070,251,948 : 47,363,526,784 = 47,363,526,784 : x
  2. Step 2: Convert to fraction form
    23,070,251,948/47,363,526,784 = 47,363,526,784/x
  3. Step 3: Cross multiply
    23,070,251,948x = 47,363,526,784 × 47,363,526,784
  4. Step 4: Simplify right side
    23,070,251,948x = 2,243,303,669,418,685,366,272
  5. Step 5: Solve for x
    x = 2,243,303,669,418,685,366,272/23,070,251,948
  6. Step 6: Final answer
    x = 97,237,935,436.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.