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Finding the Third Proportional to 877,630,271.63 and 1,827,901,748.25

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Solution

The third proportional to 877,630,271.63 and 1,827,901,748.25 is: 3,807,098,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,630,271.63 : 1,827,901,748.25 = 1,827,901,748.25 : x
  2. Step 2: Convert to fraction form
    877,630,271.63/1,827,901,748.25 = 1,827,901,748.25/x
  3. Step 3: Cross multiply
    877,630,271.63x = 1,827,901,748.25 × 1,827,901,748.25
  4. Step 4: Simplify right side
    877,630,271.63x = 3,341,224,801,255,406,592
  5. Step 5: Solve for x
    x = 3,341,224,801,255,406,592/877,630,271.63
  6. Step 6: Final answer
    x = 3,807,098,398.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.