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Finding the Third Proportional to 45,486,061,071 and 97,281,698,610

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Solution

The third proportional to 45,486,061,071 and 97,281,698,610 is: 208,057,779,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,486,061,071 : 97,281,698,610 = 97,281,698,610 : x
  2. Step 2: Convert to fraction form
    45,486,061,071/97,281,698,610 = 97,281,698,610/x
  3. Step 3: Cross multiply
    45,486,061,071x = 97,281,698,610 × 97,281,698,610
  4. Step 4: Simplify right side
    45,486,061,071x = 9,463,728,884,446,876,663,808
  5. Step 5: Solve for x
    x = 9,463,728,884,446,876,663,808/45,486,061,071
  6. Step 6: Final answer
    x = 208,057,779,935.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.