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Finding the Third Proportional to 37,197,248,574 and 57,440,243,337

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Solution

The third proportional to 37,197,248,574 and 57,440,243,337 is: 88,699,613,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,197,248,574 : 57,440,243,337 = 57,440,243,337 : x
  2. Step 2: Convert to fraction form
    37,197,248,574/57,440,243,337 = 57,440,243,337/x
  3. Step 3: Cross multiply
    37,197,248,574x = 57,440,243,337 × 57,440,243,337
  4. Step 4: Simplify right side
    37,197,248,574x = 3,299,381,554,613,773,139,968
  5. Step 5: Solve for x
    x = 3,299,381,554,613,773,139,968/37,197,248,574
  6. Step 6: Final answer
    x = 88,699,613,038.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.