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Finding the Third Proportional to 30,851,569.13 and 45,141,678

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Solution

The third proportional to 30,851,569.13 and 45,141,678 is: 66,050,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851,569.13 : 45,141,678 = 45,141,678 : x
  2. Step 2: Convert to fraction form
    30,851,569.13/45,141,678 = 45,141,678/x
  3. Step 3: Cross multiply
    30,851,569.13x = 45,141,678 × 45,141,678
  4. Step 4: Simplify right side
    30,851,569.13x = 2,037,771,092,655,684
  5. Step 5: Solve for x
    x = 2,037,771,092,655,684/30,851,569.13
  6. Step 6: Final answer
    x = 66,050,808.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.