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Finding the Third Proportional to 19,656,585 and 29,759,710.50

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Solution

The third proportional to 19,656,585 and 29,759,710.50 is: 45,055,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656,585 : 29,759,710.50 = 29,759,710.50 : x
  2. Step 2: Convert to fraction form
    19,656,585/29,759,710.50 = 29,759,710.50/x
  3. Step 3: Cross multiply
    19,656,585x = 29,759,710.50 × 29,759,710.50
  4. Step 4: Simplify right side
    19,656,585x = 885,640,369,043,810.25
  5. Step 5: Solve for x
    x = 885,640,369,043,810.25/19,656,585
  6. Step 6: Final answer
    x = 45,055,657.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.