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Finding the Third Proportional to 4,865,853,009 and 7,537,845,247.50

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Solution

The third proportional to 4,865,853,009 and 7,537,845,247.50 is: 11,677,112,085.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865,853,009 : 7,537,845,247.50 = 7,537,845,247.50 : x
  2. Step 2: Convert to fraction form
    4,865,853,009/7,537,845,247.50 = 7,537,845,247.50/x
  3. Step 3: Cross multiply
    4,865,853,009x = 7,537,845,247.50 × 7,537,845,247.50
  4. Step 4: Simplify right side
    4,865,853,009x = 56,819,110,975,258,337,280
  5. Step 5: Solve for x
    x = 56,819,110,975,258,337,280/4,865,853,009
  6. Step 6: Final answer
    x = 11,677,112,085.01

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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.