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Finding the Third Proportional to 310,975,044 and 719,926,276.50

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Solution

The third proportional to 310,975,044 and 719,926,276.50 is: 1,666,673,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,975,044 : 719,926,276.50 = 719,926,276.50 : x
  2. Step 2: Convert to fraction form
    310,975,044/719,926,276.50 = 719,926,276.50/x
  3. Step 3: Cross multiply
    310,975,044x = 719,926,276.50 × 719,926,276.50
  4. Step 4: Simplify right side
    310,975,044x = 518,293,843,595,154,432
  5. Step 5: Solve for x
    x = 518,293,843,595,154,432/310,975,044
  6. Step 6: Final answer
    x = 1,666,673,431.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.