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Finding the Third Proportional to 364,843,271 and 565,406,618

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Solution

The third proportional to 364,843,271 and 565,406,618 is: 876,224,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,843,271 : 565,406,618 = 565,406,618 : x
  2. Step 2: Convert to fraction form
    364,843,271/565,406,618 = 565,406,618/x
  3. Step 3: Cross multiply
    364,843,271x = 565,406,618 × 565,406,618
  4. Step 4: Simplify right side
    364,843,271x = 319,684,643,678,197,952
  5. Step 5: Solve for x
    x = 319,684,643,678,197,952/364,843,271
  6. Step 6: Final answer
    x = 876,224,584.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.