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Finding the Third Proportional to 60,566,833,590 and 132,532,013,750

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Solution

The third proportional to 60,566,833,590 and 132,532,013,750 is: 290,005,827,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,566,833,590 : 132,532,013,750 = 132,532,013,750 : x
  2. Step 2: Convert to fraction form
    60,566,833,590/132,532,013,750 = 132,532,013,750/x
  3. Step 3: Cross multiply
    60,566,833,590x = 132,532,013,750 × 132,532,013,750
  4. Step 4: Simplify right side
    60,566,833,590x = 17,564,734,668,630,189,408,256
  5. Step 5: Solve for x
    x = 17,564,734,668,630,189,408,256/60,566,833,590
  6. Step 6: Final answer
    x = 290,005,827,075.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.