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Finding the Third Proportional to 5,034,490,955.63 and 7,897,630,622.25

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Solution

The third proportional to 5,034,490,955.63 and 7,897,630,622.25 is: 12,389,051,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034,490,955.63 : 7,897,630,622.25 = 7,897,630,622.25 : x
  2. Step 2: Convert to fraction form
    5,034,490,955.63/7,897,630,622.25 = 7,897,630,622.25/x
  3. Step 3: Cross multiply
    5,034,490,955.63x = 7,897,630,622.25 × 7,897,630,622.25
  4. Step 4: Simplify right side
    5,034,490,955.63x = 62,372,569,445,500,919,808
  5. Step 5: Solve for x
    x = 62,372,569,445,500,919,808/5,034,490,955.63
  6. Step 6: Final answer
    x = 12,389,051,841.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.