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Finding the Third Proportional to 53,803,572 and 85,653,590

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Solution

The third proportional to 53,803,572 and 85,653,590 is: 136,357,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,803,572 : 85,653,590 = 85,653,590 : x
  2. Step 2: Convert to fraction form
    53,803,572/85,653,590 = 85,653,590/x
  3. Step 3: Cross multiply
    53,803,572x = 85,653,590 × 85,653,590
  4. Step 4: Simplify right side
    53,803,572x = 7,336,537,479,888,100
  5. Step 5: Solve for x
    x = 7,336,537,479,888,100/53,803,572
  6. Step 6: Final answer
    x = 136,357,814.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.