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Finding the Third Proportional to 61,413,333,446 and 94,354,799,289

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Solution

The third proportional to 61,413,333,446 and 94,354,799,289 is: 144,965,720,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,413,333,446 : 94,354,799,289 = 94,354,799,289 : x
  2. Step 2: Convert to fraction form
    61,413,333,446/94,354,799,289 = 94,354,799,289/x
  3. Step 3: Cross multiply
    61,413,333,446x = 94,354,799,289 × 94,354,799,289
  4. Step 4: Simplify right side
    61,413,333,446x = 8,902,828,148,867,474,653,184
  5. Step 5: Solve for x
    x = 8,902,828,148,867,474,653,184/61,413,333,446
  6. Step 6: Final answer
    x = 144,965,720,785.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.