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Finding the Third Proportional to 516,065,362,898 and 717,547,636,554

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Solution

The third proportional to 516,065,362,898 and 717,547,636,554 is: 997,692,633,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,065,362,898 : 717,547,636,554 = 717,547,636,554 : x
  2. Step 2: Convert to fraction form
    516,065,362,898/717,547,636,554 = 717,547,636,554/x
  3. Step 3: Cross multiply
    516,065,362,898x = 717,547,636,554 × 717,547,636,554
  4. Step 4: Simplify right side
    516,065,362,898x = 514,874,610,724,231,249,395,712
  5. Step 5: Solve for x
    x = 514,874,610,724,231,249,395,712/516,065,362,898
  6. Step 6: Final answer
    x = 997,692,633,027.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.