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Finding the Third Proportional to 29,986,985 and 46,071,688

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Solution

The third proportional to 29,986,985 and 46,071,688 is: 70,784,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,986,985 : 46,071,688 = 46,071,688 : x
  2. Step 2: Convert to fraction form
    29,986,985/46,071,688 = 46,071,688/x
  3. Step 3: Cross multiply
    29,986,985x = 46,071,688 × 46,071,688
  4. Step 4: Simplify right side
    29,986,985x = 2,122,600,435,169,344
  5. Step 5: Solve for x
    x = 2,122,600,435,169,344/29,986,985
  6. Step 6: Final answer
    x = 70,784,056.32

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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.