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Finding the Third Proportional to 388,127,628 and 841,742,262

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Solution

The third proportional to 388,127,628 and 841,742,262 is: 1,825,507,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,127,628 : 841,742,262 = 841,742,262 : x
  2. Step 2: Convert to fraction form
    388,127,628/841,742,262 = 841,742,262/x
  3. Step 3: Cross multiply
    388,127,628x = 841,742,262 × 841,742,262
  4. Step 4: Simplify right side
    388,127,628x = 708,530,035,636,876,672
  5. Step 5: Solve for x
    x = 708,530,035,636,876,672/388,127,628
  6. Step 6: Final answer
    x = 1,825,507,860.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.