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Finding the Third Proportional to 42,503,314,602 and 93,013,358,677

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Solution

The third proportional to 42,503,314,602 and 93,013,358,677 is: 203,548,475,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,503,314,602 : 93,013,358,677 = 93,013,358,677 : x
  2. Step 2: Convert to fraction form
    42,503,314,602/93,013,358,677 = 93,013,358,677/x
  3. Step 3: Cross multiply
    42,503,314,602x = 93,013,358,677 × 93,013,358,677
  4. Step 4: Simplify right side
    42,503,314,602x = 8,651,484,892,376,251,498,496
  5. Step 5: Solve for x
    x = 8,651,484,892,376,251,498,496/42,503,314,602
  6. Step 6: Final answer
    x = 203,548,475,533.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.