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Finding the Third Proportional to 1,070,610,000 and 1,636,686,441

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Solution

The third proportional to 1,070,610,000 and 1,636,686,441 is: 2,502,071,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070,610,000 : 1,636,686,441 = 1,636,686,441 : x
  2. Step 2: Convert to fraction form
    1,070,610,000/1,636,686,441 = 1,636,686,441/x
  3. Step 3: Cross multiply
    1,070,610,000x = 1,636,686,441 × 1,636,686,441
  4. Step 4: Simplify right side
    1,070,610,000x = 2,678,742,506,153,246,720
  5. Step 5: Solve for x
    x = 2,678,742,506,153,246,720/1,070,610,000
  6. Step 6: Final answer
    x = 2,502,071,254.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.