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Finding the Third Proportional to 1,312,435,618 and 1,918,826,727

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Solution

The third proportional to 1,312,435,618 and 1,918,826,727 is: 2,805,391,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,435,618 : 1,918,826,727 = 1,918,826,727 : x
  2. Step 2: Convert to fraction form
    1,312,435,618/1,918,826,727 = 1,918,826,727/x
  3. Step 3: Cross multiply
    1,312,435,618x = 1,918,826,727 × 1,918,826,727
  4. Step 4: Simplify right side
    1,312,435,618x = 3,681,896,008,249,532,416
  5. Step 5: Solve for x
    x = 3,681,896,008,249,532,416/1,312,435,618
  6. Step 6: Final answer
    x = 2,805,391,714.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.