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Finding the Third Proportional to 66,592,114,963.60 and 155,386,971,367.45

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Solution

The third proportional to 66,592,114,963.60 and 155,386,971,367.45 is: 362,582,129,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,592,114,963.60 : 155,386,971,367.45 = 155,386,971,367.45 : x
  2. Step 2: Convert to fraction form
    66,592,114,963.60/155,386,971,367.45 = 155,386,971,367.45/x
  3. Step 3: Cross multiply
    66,592,114,963.60x = 155,386,971,367.45 × 155,386,971,367.45
  4. Step 4: Simplify right side
    66,592,114,963.60x = 24,145,110,870,748,731,277,312
  5. Step 5: Solve for x
    x = 24,145,110,870,748,731,277,312/66,592,114,963.60
  6. Step 6: Final answer
    x = 362,582,129,790.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.