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Finding the Third Proportional to 48,832,665,060 and 105,779,807,844

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Solution

The third proportional to 48,832,665,060 and 105,779,807,844 is: 229,136,946,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,832,665,060 : 105,779,807,844 = 105,779,807,844 : x
  2. Step 2: Convert to fraction form
    48,832,665,060/105,779,807,844 = 105,779,807,844/x
  3. Step 3: Cross multiply
    48,832,665,060x = 105,779,807,844 × 105,779,807,844
  4. Step 4: Simplify right side
    48,832,665,060x = 11,189,367,747,513,564,528,640
  5. Step 5: Solve for x
    x = 11,189,367,747,513,564,528,640/48,832,665,060
  6. Step 6: Final answer
    x = 229,136,946,217.57

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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.