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Finding the Third Proportional to 424,824,726 and 656,103,622.50

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Solution

The third proportional to 424,824,726 and 656,103,622.50 is: 1,013,293,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,824,726 : 656,103,622.50 = 656,103,622.50 : x
  2. Step 2: Convert to fraction form
    424,824,726/656,103,622.50 = 656,103,622.50/x
  3. Step 3: Cross multiply
    424,824,726x = 656,103,622.50 × 656,103,622.50
  4. Step 4: Simplify right side
    424,824,726x = 430,471,963,457,622,528
  5. Step 5: Solve for x
    x = 430,471,963,457,622,528/424,824,726
  6. Step 6: Final answer
    x = 1,013,293,099.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.