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Finding the Third Proportional to 427,742,106 and 916,873,842

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Solution

The third proportional to 427,742,106 and 916,873,842 is: 1,965,337,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,742,106 : 916,873,842 = 916,873,842 : x
  2. Step 2: Convert to fraction form
    427,742,106/916,873,842 = 916,873,842/x
  3. Step 3: Cross multiply
    427,742,106x = 916,873,842 × 916,873,842
  4. Step 4: Simplify right side
    427,742,106x = 840,657,642,143,841,024
  5. Step 5: Solve for x
    x = 840,657,642,143,841,024/427,742,106
  6. Step 6: Final answer
    x = 1,965,337,595.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.