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Finding the Third Proportional to 1,692,563,073 and 2,564,441,257.50

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Solution

The third proportional to 1,692,563,073 and 2,564,441,257.50 is: 3,885,443,956.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692,563,073 : 2,564,441,257.50 = 2,564,441,257.50 : x
  2. Step 2: Convert to fraction form
    1,692,563,073/2,564,441,257.50 = 2,564,441,257.50/x
  3. Step 3: Cross multiply
    1,692,563,073x = 2,564,441,257.50 × 2,564,441,257.50
  4. Step 4: Simplify right side
    1,692,563,073x = 6,576,358,963,168,181,248
  5. Step 5: Solve for x
    x = 6,576,358,963,168,181,248/1,692,563,073
  6. Step 6: Final answer
    x = 3,885,443,956.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.