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Finding the Third Proportional to 1,212,547,462,416 and 2,609,000,137,896

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Solution

The third proportional to 1,212,547,462,416 and 2,609,000,137,896 is: 5,613,703,323,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,547,462,416 : 2,609,000,137,896 = 2,609,000,137,896 : x
  2. Step 2: Convert to fraction form
    1,212,547,462,416/2,609,000,137,896 = 2,609,000,137,896/x
  3. Step 3: Cross multiply
    1,212,547,462,416x = 2,609,000,137,896 × 2,609,000,137,896
  4. Step 4: Simplify right side
    1,212,547,462,416x = 6,806,881,719,541,347,167,240,192
  5. Step 5: Solve for x
    x = 6,806,881,719,541,347,167,240,192/1,212,547,462,416
  6. Step 6: Final answer
    x = 5,613,703,323,397.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.