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Finding the Third Proportional to 31,164,457.50 and 46,572,259.50

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Solution

The third proportional to 31,164,457.50 and 46,572,259.50 is: 69,597,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164,457.50 : 46,572,259.50 = 46,572,259.50 : x
  2. Step 2: Convert to fraction form
    31,164,457.50/46,572,259.50 = 46,572,259.50/x
  3. Step 3: Cross multiply
    31,164,457.50x = 46,572,259.50 × 46,572,259.50
  4. Step 4: Simplify right side
    31,164,457.50x = 2,168,975,354,935,340.25
  5. Step 5: Solve for x
    x = 2,168,975,354,935,340.25/31,164,457.50
  6. Step 6: Final answer
    x = 69,597,725.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.