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Finding the Third Proportional to 46,187,532.07 and 64,572,892.14

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Solution

The third proportional to 46,187,532.07 and 64,572,892.14 is: 90,276,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,187,532.07 : 64,572,892.14 = 64,572,892.14 : x
  2. Step 2: Convert to fraction form
    46,187,532.07/64,572,892.14 = 64,572,892.14/x
  3. Step 3: Cross multiply
    46,187,532.07x = 64,572,892.14 × 64,572,892.14
  4. Step 4: Simplify right side
    46,187,532.07x = 4,169,658,398,900,217
  5. Step 5: Solve for x
    x = 4,169,658,398,900,217/46,187,532.07
  6. Step 6: Final answer
    x = 90,276,709.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.