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Finding the Third Proportional to 4,242,506,924 and 9,219,425,944

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Solution

The third proportional to 4,242,506,924 and 9,219,425,944 is: 20,034,808,725.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242,506,924 : 9,219,425,944 = 9,219,425,944 : x
  2. Step 2: Convert to fraction form
    4,242,506,924/9,219,425,944 = 9,219,425,944/x
  3. Step 3: Cross multiply
    4,242,506,924x = 9,219,425,944 × 9,219,425,944
  4. Step 4: Simplify right side
    4,242,506,924x = 84,997,814,736,900,292,608
  5. Step 5: Solve for x
    x = 84,997,814,736,900,292,608/4,242,506,924
  6. Step 6: Final answer
    x = 20,034,808,725.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.