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Finding the Third Proportional to 34,670,602.13 and 53,758,783.69

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Solution

The third proportional to 34,670,602.13 and 53,758,783.69 is: 83,356,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,670,602.13 : 53,758,783.69 = 53,758,783.69 : x
  2. Step 2: Convert to fraction form
    34,670,602.13/53,758,783.69 = 53,758,783.69/x
  3. Step 3: Cross multiply
    34,670,602.13x = 53,758,783.69 × 53,758,783.69
  4. Step 4: Simplify right side
    34,670,602.13x = 2,890,006,823,559,416
  5. Step 5: Solve for x
    x = 2,890,006,823,559,416/34,670,602.13
  6. Step 6: Final answer
    x = 83,356,118.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.