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Finding the Third Proportional to 797,616,487.13 and 1,281,547,711.69

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Solution

The third proportional to 797,616,487.13 and 1,281,547,711.69 is: 2,059,090,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,616,487.13 : 1,281,547,711.69 = 1,281,547,711.69 : x
  2. Step 2: Convert to fraction form
    797,616,487.13/1,281,547,711.69 = 1,281,547,711.69/x
  3. Step 3: Cross multiply
    797,616,487.13x = 1,281,547,711.69 × 1,281,547,711.69
  4. Step 4: Simplify right side
    797,616,487.13x = 1,642,364,537,331,467,520
  5. Step 5: Solve for x
    x = 1,642,364,537,331,467,520/797,616,487.13
  6. Step 6: Final answer
    x = 2,059,090,507.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.