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Finding the Third Proportional to 611,484,639 and 935,011,164

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Solution

The third proportional to 611,484,639 and 935,011,164 is: 1,429,710,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,484,639 : 935,011,164 = 935,011,164 : x
  2. Step 2: Convert to fraction form
    611,484,639/935,011,164 = 935,011,164/x
  3. Step 3: Cross multiply
    611,484,639x = 935,011,164 × 935,011,164
  4. Step 4: Simplify right side
    611,484,639x = 874,245,876,804,634,880
  5. Step 5: Solve for x
    x = 874,245,876,804,634,880/611,484,639
  6. Step 6: Final answer
    x = 1,429,710,283.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.