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Finding the Third Proportional to 30,303,834,871 and 42,620,316,262

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Solution

The third proportional to 30,303,834,871 and 42,620,316,262 is: 59,942,623,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,303,834,871 : 42,620,316,262 = 42,620,316,262 : x
  2. Step 2: Convert to fraction form
    30,303,834,871/42,620,316,262 = 42,620,316,262/x
  3. Step 3: Cross multiply
    30,303,834,871x = 42,620,316,262 × 42,620,316,262
  4. Step 4: Simplify right side
    30,303,834,871x = 1,816,491,358,272,901,611,520
  5. Step 5: Solve for x
    x = 1,816,491,358,272,901,611,520/30,303,834,871
  6. Step 6: Final answer
    x = 59,942,623,301.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.