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Finding the Third Proportional to 46,187,569.13 and 64,572,940.13

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Solution

The third proportional to 46,187,569.13 and 64,572,940.13 is: 90,276,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,187,569.13 : 64,572,940.13 = 64,572,940.13 : x
  2. Step 2: Convert to fraction form
    46,187,569.13/64,572,940.13 = 64,572,940.13/x
  3. Step 3: Cross multiply
    46,187,569.13x = 64,572,940.13 × 64,572,940.13
  4. Step 4: Simplify right side
    46,187,569.13x = 4,169,664,596,386,835
  5. Step 5: Solve for x
    x = 4,169,664,596,386,835/46,187,569.13
  6. Step 6: Final answer
    x = 90,276,770.90

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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.