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Finding the Third Proportional to 53,537,718 and 72,234,951.50

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Solution

The third proportional to 53,537,718 and 72,234,951.50 is: 97,461,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,537,718 : 72,234,951.50 = 72,234,951.50 : x
  2. Step 2: Convert to fraction form
    53,537,718/72,234,951.50 = 72,234,951.50/x
  3. Step 3: Cross multiply
    53,537,718x = 72,234,951.50 × 72,234,951.50
  4. Step 4: Simplify right side
    53,537,718x = 5,217,888,218,207,352
  5. Step 5: Solve for x
    x = 5,217,888,218,207,352/53,537,718
  6. Step 6: Final answer
    x = 97,461,909.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.