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Finding the Third Proportional to 71,899,804,386 and 156,314,154,051

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Solution

The third proportional to 71,899,804,386 and 156,314,154,051 is: 339,835,622,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,899,804,386 : 156,314,154,051 = 156,314,154,051 : x
  2. Step 2: Convert to fraction form
    71,899,804,386/156,314,154,051 = 156,314,154,051/x
  3. Step 3: Cross multiply
    71,899,804,386x = 156,314,154,051 × 156,314,154,051
  4. Step 4: Simplify right side
    71,899,804,386x = 24,434,114,756,679,760,347,136
  5. Step 5: Solve for x
    x = 24,434,114,756,679,760,347,136/71,899,804,386
  6. Step 6: Final answer
    x = 339,835,622,159.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.